@/
============================ message words ================================
@ message
error = error
warning = warning
info = info
@/
========================= months words ===============================
@ months
january = Januar
february = Februar
march = März
april = April
may = Mai
june = Juni
july = Juli
august = August
september = September
october = Oktober
november = November
december = Dezember
@ short months
jan = Jan
feb = Feb
mar = Mär
apr = Apr
may = Mai
jun = Jun
jul = Jul
aug = Aug
sep = Sep
oct = Okt
nov = Nov
dec = Dez
@/
============================ parameter keys words ==================================
@ param key
none = none
lang = _lang
verbose = _verbose
trackingMode = _trackingMode
isLogged = _isLogged
varnames = _varnames
pk_vertices = _vertices
pk_faces = _faces
pk_center = _center
pk_center1 = _center1
pk_center2 = _center2
pk_apogee = _apogee
pk_origin = _origin
pk_apex = _apex
pk_v1 = _v1
pk_v2 = _v2
pk_v3 = _v3
pk_v4 = _v4
pk_v5 = _v5
pk_v6 = _v6
pk_v7 = _v7
pk_v8 = _v8
pk_xmin = _xmin
pk_xmax = _xmax
pk_ymin = _ymin
pk_ymax = _ymax
pk_zmin = _zmin
pk_zmax = _zmax
pk_length = _length
pk_xlength = _xlength
pk_ylength = _ylength
pk_zlength = _zlength
pk_radius = _radius
pk_radius1 = _radius1
pk_radius2 = _radius2
pk_basis = _basis
pk_scale = _scale
pk_dir = _direction
pk_end_shape = _end_shape
pk_end1_shape = _end1_shape
pk_end2_shape = _end2_shape
pk_end_distance = _end_distance
pk_end1_distance = _end1_distance
pk_end2_distance = _end2_distance
pk_nnodes = _nnodes
pk_hsteps = _hsteps
pk_domain_name = _domain_name
pk_side_names = _side_names
pk_nbsubdomains = _nbsubdomains
pk_nboctants = _nboctants
pk_angle1 = _angle1
pk_angle2 = _angle2
pk_type = _type
pk_maxIt = _maxIt
pk_krylovDim = _krylovDim
pk_solver = _solver
pk_tolerance = _tolerance
pk_convToStd = _convToStd
pk_forceNonSym = _forceNonSym
pk_ncv = _ncv
pk_nev = _nev
pk_mode = _mode
pk_sigma = _sigma
pk_sort = _sort
pk_which = _which
pk_omega = _omega
pk_name = _name
@/
========================= shape words ===============================
@ shape
noshape = keine Form
fromFile = aus Datei
point = Punkt
segment = Segment
triangle = Dreieck
quadrangle = Viereck
tetrahedron = Tetraeder
hexahedron = Hexaeder
prism = Prisma
pyramid = Pyramide
ellArc = Ellipsenbogen
circArc = Kreisbogen
polygon = Polygon
parallelogram = Parallelogramm
rectangle = Rechteck
square = Quadrat
ellipse = Ellipse
disk = Scheibe
ellipsoidPart = Ellipsoidkalotte
spherePart = Kugelkalotte
setofpoints = Menge von Punkte
setofelems = Menge von Elementen
trunkPart = Teil eines Stumpfes
cylinderPart = Teil eines Zylindermantels
conePart = Teil eines Kegelmantels
polyhedron = Polyeder
parallelepiped = Parallelepiped
cuboid = Quader
cube = Würfel
ellipsoid = Ellipsoid
ball = Kugel
trunk = Stumpf
revTrunk = Rotationsstumpf
cylinder = Zylinder
revCylinder = Rotationszylinder
cone = Kegel
revCone = Rotationskegel
composite = Kompositum
loop = Schleife
extrusion = Extrusion
@ shapes
noshapes = keine Formen
fromFiles = von Dateien
points = Punkte
segments = Segmente
triangles = Dreiecke
quadrangles = Vierecke
tetrahedra = Tetraeder
hexahedra = Hexaeder
prisms = Prismen
pyramids = Pyramiden
ellArcs = EllipsenBögen
circArcs = KreisBögen
polygons = Polygone
parallelograms = Parallelogramme
rectangles = Rechtecke
squares = Quadrate
ellipses = Ellipsen
disks = Scheiben
ellipsoidParts = Ellipsoidkalotten
sphereParts = Kugelkalotten
setsofpoints = Mengen von Punkte
setsofelems = Mengen von Elementen
trunkParts = Teile eines Stumpfes
cylinderParts = Teile eines Zylindermantels
coneParts = Teile eines Kegelmantels
polyhedra = Polyedern
parallelepipeds = Parallelepipede
cuboids = Quadern
cubes = Würfel
ellipsoids = Ellipsoide
balls = Kugeln
trunks = Stümpfe
revTrunks = Rotationsstümpfe
cylinders = Zylindern 
revCylinders = Rotationszylindern
cones = Kegeln
revCones = Rotationskegeln
composites = Komposita
loops = Schleifen
extrusions = Extrusionen
@/
========================== structure words =================================
@ structure
scalar = Skalar
vector = Vektor
matrix = Matrix
vectorofvector = Vektor von Vektoren
vectorofmatrix = Vektor von Matrizen
matrixofmatrix = Matrix von Matrizen
@/
=========================== matrix words ===================================
@ matrix
zeroMatrix = Nullmatrix
idMatrix = EinheitsMatrix
onesMatrix = Einsmatrix
hilbertMatrix = Hilbert-Matrix
@/
========================== symmetry words ==================================
@ symmetry
noSymmetry = nicht symmetrisch
symmetric = symmetrisch
skewSymmetric = schief-symmetrisch
selfAdjoint = sebst-adjungiert
skewAdjoint = schief-adjungiert
diagonal = diagonal
@/
============================ value words ===================================
@ value
none = kein 
integer = Ganzzahl
bool = boolesche Zahl
real = reelle Zahl
complex = komplexe Zahl
string = Zeichenkette
pt = Punkt
pointer = Zeiger
intVector = Vektor von ganzen Zahlen
realVector = Vektor von reellen Zahlen
complexVector = Vektor von komplexen Zahlen
stringVector = Vektor von ZeichenFolgen
ptVector = Vektor von Punkten
intMatrix = Matrizen von ganzen Zahlen
realMatrix = Matrizen von reellen Zahlen
complexMatrix = Matrizen von komplexen Zahlen
@/
============================ support type words ===================================
@ support type
undefSupport= undefinierter Träger Typ
pointSupport= Träger vom Typ Punkt
faceSupport= Träger vom Typ Fläche
edgeSupport= Träger vom Typ Kante
elementSupport = Träger vom Typ Element
@/
============================ projection type  ===================================
@ projection type
noProjection = kein Projektion
givenProjection = angegeben Projektion
dotnProjection = Senkrechtprojektion
crossnProjection = tangentiale Projektion
@/
============================ function type  ===================================
@ function type
analytical= analytisch
interpolated= interpoliert
@/
========================== term type words =================================
@ term type
Term = Term
TermVector = TermVector
TermMatrix = TermMatrix
SuTermVector = SuTermVector
SuTermMatrix = SuTermMatrix
@/
============================ form type words =====================================
@ form type
undefLf = undefinierter Linearform Typ
intg = Integral-Linearform
doubleIntg = Doppelintegral-Linearform
linearCombination = Linearkombination
@/
========================== function words ==================================
@ function
function = Funktion
kernel = Kern
@/
=========================== Sobolev words ==================================
@ Sobolev
L2 = L2
H1 = H1
Hdiv = Hdiv
Hcurl = Hcurl
H2 = H2
Hinf = Hinf
@/
=========================== Projector words ==================================
@ Projector
noProjector = kein Projektor
userProjector = frei definiert Projektor
L2Projector = L2 Projektor
H1Projector = H1 Projektor
H10Projector = H10 Projektor
@/
============================ space words ===================================
@ space
feSpace = Finite Elemente Raum
spSpace = Spektral Raum
subSpace = Unterraum
productSpace = Produktraum
otherSpace = anderer Raum
@/
============================ unknown words =================================
@ unknown
feUnknown = unbekannte finite Element
spUnknown = unbekannte spektrale Element
mixedUnknown = unbekannte Mischung
@/
============================ dof words =====================================
@ dof
feDof = finites Element
spDof = spektral Element
@/
============================ dof location ===================================
@ dof location
noWhere = nirgendwo
onVertex = Auf Knoten
onEdge = Am Randkante
onFace = Am Randfläche
onElement = Auf Element
@/
============================ diff. operator words ==========================
@ diffop
id = Identität
d0 = dt
d1 = dx
d2 = dy
d3 = dz
grad = grad
div  = div
curl = rot
gradS = Oberflächen grad
divS = Oberflächen div
curlS = Oberflächen rot
ntimes = n*
timesn = *n
ndot = n.
ncross = n^
ncrossncross = n^(n^
ndotgrad = n.grad
ndiv = n div
ncrosscurl = n^rot
ncrossgrad = n^grad
ncrossntimes = (n^n)*
timesncrossn = *(n^n)
ntimesndot = n*(n|)
divG = verallgemeinerte div
gradG = verallgemeinerter grad
curlG = verallgemeinerte rot
epsilon = Epsilon (Dehnungstensor)
epsilonG = verallgemeinertes Epsilon (Dehnungstensor)
epsilonR = reduziertes Epsilon (Dehnungstensor)
voigtToM = Voigt Vektor zu Matrix
jump = Sprung
mean = Mittelwert
grad_x = grad_x
grad_y = grad_y
grad_xy = grad_x grad_y
div_x = div_x
div_y = div_y
div_xy = div_x div_y
curl_x = curl_x
curl_y = curl_y
curl_xy = curl_x curl_y
ntimes_x = nx*
timesn_x = *nx
ndot_x = nx.
ncross_x = nx^
ncrossncross_x = nx^(nx^
ncrossntimes_x = nx^(nx*
timesncrossn_x = *nx^)^nx
ndotgrad_x = nx.grad_x
ndiv_x = nx*div_x u
ncrosscurl_x = nx^curl_x
ntimes_y = ny*
timesn_y = *ny
ndot_y = ny.
ncross_y = ny^
ncrossncross_y = ny^(ny^
ncrossntimes_y = ny^(ny*
timesncrossn_y = *ny^)^ny
ndotgrad_y = ny.grad_y
ndiv_y = ny*div_y
ncrosscurl_y = ny^curl_y
ndotgrad_xy = nx.grad_x ny.grad_y
nxdotny_times = (nx.ny) *
nxcrossny_dot = (nx^ny)|
nycrossnx_dot = (ny^nx)|
nxcrossny_cross = nx^(ny^
nycrossnx_cross = ny^(nx^
nxcrossny_times = (nx^ny)*
nycrossnx_times = (ny^nx)*
@/
========================= unitaryNormal words ========================
@ normal
n = n
nx = nx
ny = ny
nxdotny = nx.ny
nxcrossny = nx x ny
nycrossnx = ny x nx
@/
========================= algebraic operation words ========================
@ algop
product = * (Produkt)
innerProduct = | (Skalarprodukt)
crossProduct = ^ (Vektorprodukt)
contractedProduct = % (Kontraktionsprodukt)
@/
============================== FE words ====================================
@ FE name
Lagrange = Lagrange
Hermite = Hermite
CrouzeixRaviart = Crouzeix-Raviart
Nedelec = Nedelec
RaviartThomas = Raviart-Thomas
NedelecFace = Nedelec Randfläche
NedelecEdge = Nedelec Randkante
BuffaChristiansen = Buffa-Christiansen
@ FE subname
standard = standard
GaussLobatto = GaussLobatto
firstFamily = erste Familie
secondFamily = zweite Familie
@/
========================= interpolation words ==============================
@ Pn
P0 = P0
P1 = P1
P2 = P2
P3 = P3
P4 = P4
P5 = P5
P6 = P6
P7 = P7
P8 = P8
P9 = P9
P10 = P10
P1BubbleP3 = P1-Bubble-P3
@ Qn
Q0 = Q0
Q1 = Q1
Q2 = Q2
Q3 = Q3
Q4 = Q4
Q5 = Q5
Q6 = Q6
Q7 = Q7
Q8 = Q8
Q9 = Q9
Q10 = Q10
@ FE face
NF1_1 = NF1_1
NF1_2 = NF1_2
NF1_3 = NF1_3
NF1_4 = NF1_4
NF1_5 = NF1_5
NF2_1 = NF2_1
NF2_2 = NF2_2
NF2_3 = NF2_3
NF2_4 = NF2_4
NF2_5 = NF2_5
@ FE edge
NE1_1 = NE1_1
NE1_2 = NE1_2
NE1_3 = NE1_3
NE1_4 = NE1_4
NE1_5 = NE1_5
NE2_1 = NE2_1
NE2_2 = NE2_2
NE2_3 = NE2_3
NE2_4 = NE2_4
NE2_5 = NE2_5
@/
========================= adjacence status ==============================
@ adjacence status
notAdjacent = nicht gegenüber
adjacentByElement = zusammen
adjacentBySide = an Zeite angrenzend (Randkante oder RandFläche)
adjacentBySideOfSide  = an Zeite von Zeite angrenzend (Randkante)
adjacentByVertex = an EckPunkt angrenzend
@/
========================= domain words ==============================
@ domain type
undefDomain= undefinierter Gebiets Typ
analyticDomain  = Gebiet vom Typ analytisch
meshDomain = Gebiet vom Typ Gitter
compositeDomain = Gebiet vom Typ Komposita
@ orientation type
undefOrientationType = undefinierter Ausrichtungs Typ
towardsInfinite = gegen unendlich
outwardsInfinite = nach aussen undendlich
towardsDomain = gegen Gebiet
outwardsDomain = nach aussen Gebiet
@/
============================ set operations ==========================
@ setop
union = Vereinigung
intersection = Schnitt
@/
============================ storage structures ==========================
@ storage type
noStorage= keine Speicherung
dense = dicht
cs = dünnbesetzt komprimiert (csr,csc)
skyline = Skyline
coo = Koordinate
hmatrix = HMatrix
@ access type
noAccess= kein Zugriff
sym = symmetrisch
row = Zeile
col = Spalte
dual = Zeile/Spalte
@/
============================ quadrature rule name ==========================
@ quadrule
defaultRule = Vorgabe
GaussLegendreRule = Gauss-Legendre
symmetricalGaussRule = Symmetrische Gauss
GaussLobattoRule = Gauss-Lobatto
NodalRule = nodal
miscRule = andere
GrundmannMollerRule = Grundmann-Moller
doubleQuadrature = Doppelquadratur
@ integration
undefIM = undefinierter 
quadratureIM = Quadratur
polynomialIM = polynomisch
productIM = Produkt
LenoirSallesIM = LenoirSalles
SauterSchwabIM = SauterSchwab
intgRepresentationIM = Integralische Repräsentation
@/
============================ integration method type ==========================
@ imtype
undefIM = undefinierter Integrationsmethode
quadratureIM = mit Quadratur Integrationsmethode
polynomialIM =  mit Polynomen Integrationsmethode
productIM = produkt Typs Integrationsmethode
LenoirSalles2dIM = Lenoir-Salles 2d doppelte Integration 
LenoirSalles3dIM = Lenoir-Salles 3d doppelte Integration 
LenoirSalles2dIR = Lenoir-Salles 2d einzige Integration 
LenoirSalles3dIR = Lenoir-Salles 3d einzige Integration 
SauterSchwabIM = Sauter-Schwab Integrationsmethode (3d)
DuffyIM = Duffy Integrationsmethode (2d)
HMatrixIM = HMatrix Integrationsmethode
@/
============================ computation type ==========================
@ computation type
undefComputation = undefinierter Berechnungs Typ
FEComputation = FEM Berechnung
IEComputation = BEM Berechnung
SPComputation = Spektral Berechnung
FESPComputation = FEM-Spektral Berechnung
IESPComputation = BEM-Spektral Berechnung
FEextComputation = FEM Berechnung bei erwartertet Gebiet
IEextComputation = BEM Berechnung bei erwartertet Gebiet
IEHmatrixComputation = BEM Berechnung mit HMatrix
@/                                                                
============================ essential condition name =========================
@ essential condition
undefEcType = unbekannte Randbedingung
DirichletEc = Dirichlet Randbedingung
transmissionEc =  Transmissionsbedingung
crackEc = Bruchbedingung
periodicEc = periodische Randbedingung
meanEc = Mittelwert Bedingung
lfEc = Randbedingung mittels Linearform
@/
============================ matrix factorization types =======================
@ factorization type
noFactorization = keine Faktorisierung
lu = LU
ldlt = L.D.Lt
ldlstar = L.D.L*
llt = L.Lt
llstar = L.L*
qr= Q.R
umfpack = umfpack LU
@/
============================ HMatrix approximation methods ==========================
@ HMatrix approximation
noHMApproximation = keine Näherung
svdCompression = svd
rsvdCompression = Random svd
r3svdCompression = Rang-aufschlussreich randomiziert svd
acaFull = ACA mit komplett Schwenken
acaPartial = ACA mit teilweise Schwenken
acaPlus = bessere ACA (aca+)
@/
============================ cluster methods ==========================
@ cluster method
 regularBisection = normale Halbierung
 boundingBoxBisection = Begrenzungsrahmen Halbierung
 cardinalityBisection = Kardinalität Halbierung
 uniformKdtree = einheitlich Kd Struktur
 nonuniformKdtree = nicht einheitlich Kd Struktur
@/
============================ elimination method ==============================
@ reduction method
noReduction = kein Reduktion
pseudoReduction = pseudo Reduktionsmethode
realReduction = reelle Reduktionsmethode
penalizationReduction = Reduktion bei Penalisation
dualReduction = Reduktion bei Dualität
@/
============================== solver types ==================================
@ iterative solver
cg = CG
cgs = CGS
qmr = QMR
bicg = BiCG
bicgstab = BiCGStab
gmres = GMRES
sor = SOR
ssor = SSOR
@ eigen solver
intern = intern Eigenlöser
arpack = arpack Löser
@/
============================ ioformat name ==========================
@ ioformat
undefFormat = undefiniert
vtk = vtk
vtu = vtu
msh = msh
geo = geo
mel = melina
ply = ply
matlab = matlab
raw = raw
xyzv = xyzv
@/
============================ transform name ==========================
@ transform
noTransform = undefiniert
translation = Translation
rotation2d = Rotation 2d
rotation3d = Rotation 3d
homothety = Homothethie
ptReflection = Punktsymmetrie
reflection2d = Spiegelung 2d
reflection3d = Spiegelung 3d
composition = Komposition
@/
========================== memory units ================================
@ memory unit
byte = Byte
kilobyte = Kilobyte
megabyte = Megabyte
gigabyte = Gigabyte
terabyte = Terabyte
@/
========================== dictionary words ================================
@ dictionary
accessors = Akzessor
adjacent elements = adjungierte Elemente
algebraic operations = algebraische Operation
and = und
assignment operator = Zuweisungsoperator
assignment operators = Zuweisungsoperatoren
at = zu
automatic cast = automatischer Cast
boundary condition = Randbedingung
boundary edges = Randkante
boundary faces = Randfläche
by side = pro Rand
by side of side = per Rand des Randes
by vertex = per EckPunkt
centroid = Zentroid
coefficients = Koeffizienten
col = col
column = Spalte
columns = Spalten
comparisons with tolerance = Vergleiche mit Toleranz
conjugate = Konjugation
conjugated = konjugiert
construction from file = Konstruktion aus Datei
constructors = Konstruktoren
constructors for real matrix = Konstruktoren für eine reelle Matrix
constructors for complex matrix = Konstruktoren für eine komplexe Matrix
contains = beinhaltet
coords = coords 
copy constructor = Kopiekonstruktor
copy constructors = Kopiekonstruktoren
csc = csc
csr = csr
degree = Grad
derivative order = derivativen Ordnung
derivative vector = derivativen Vektor
difference at line = Unterschied auf der Linie
different shapes = unterschiedliche Formen
Dim = Dim 
dim = Dim
DoF = Freiheitsgrad
DoF numbers = Anzahl Freiheitsgrade
DoFs = Freiheitsgrade
domain = Gebiet
domains = Gebiete
element = Element
elements = Elemente
entry = Eingabe
entries = Eingaben
error opening file = Fehler beim Öffnen der Datei
error opening save file = Fehler beim Speichern der Datei
essential condition = wesentliche Veraussetzung
factorized = faktorisiert
false = falsch
file = Datei
First = Erster
first = erster
firste = erste
firstes = erste
first and last = erster und letzer
Fourth = Viertel
generalized complex = verallgemeinertes komplexes
geometric element = geometrisches Element
geometric reference element = geometrisches Referenzelement
geometric side element = geometrisches Randelement
in = in
index = Index
interface faces = Berührungsflächen
internal algebraic operations = interne algebraische Operation
in vector = im Vektor
isoparametric = isoparametrisch
left = links
left operand = Operator von links
left priority = Linksassoziativität
linked to elements = verbunden mit Elementen
list = Liste
List of = Liste von
list of = Liste von
lower triangular part = unterer Dreiecksanteil
made of = mit
matrix of matrices = Matrix von Matrizen
matrix storage = Matrixspeicherung
matrix structure functions = Matrix als Funktionsstruktur
measure = Abmessung
measure of sides = Abmessung der Seiten
name = Name
neigbor elements = benachbartes Element
new = neu
no = kein
no entries = keine Einträge
no entry = kein Eintrag
node = Knoten
nodes = Knoten
non Lagrange = nicht Lagrange
non-symmetric = nicht-symmetric
non standard Lagrange = nicht standard Lagrange
non standard or GaussLobatto Lagrange = nicht standard oder GaussLobatto Lagrange
norm = Norm
not printed = nicht ausgegeben
not computed = nicht berechnet
not shared = nicht geteilt
num = num 
number = Anzahl 
numbers = Anzahlen
number of errors = Anzahl der Fehler
number of lines differs = Anzahl unterschiedlicher Zeilen
object = Objekt
objects = Objekte
of = von
of order = der Ordnung
of element = des Elements
on = auf
operand = Operand
operations = Operationene
operator = Operator
or = oder
orientation = Orientierung
other operations = andere Operationen
point = Punkt
points = Punkte
projection vector = Projektion Vektor
reference = Referenz
reference DoF = Referenzfreiheitsgrad
reference DoFs = Referenzfreiheitsgrade
reference element = Referenzelement
results saved to = Resultate gespeichert in
returns a = ergibt ein
right = rechts
right operand = Operator von rechts
right priority = Rechtsassoziativität
row = Zeile
rows = Zeilen
running on = Ausführung von
Second = Zweiten
shape = Form
sharable = teilbar
shared = geteilt
shared by = geteilt von
Side = Rand
side = Rand
SideOfSides = Unterrand
sideOfSides = Unterränder
side of side = Unterrand
side of sides = Unterränder
Sides = Ränder
sides = Ränder
size = Grösse
space = Raum
standard Lagrange = standard Lagrange
support = Träger
test = Test
test function = Testfunktion
test functions = Testfunktionen
test of = Test von
test of class = Test einer Klasse
test of complex parameter = Test eines komplexen Parameters
test of integer parameter = Test eines ganzzahligen Parameters
test of mathematical functions = Test mathematischer Funktionen
test of operator = Test eines Operators
test of real parameter = Test eines reellen Parameters
tests of = Tests von
Third = Dritten
total cpu time = totale CPU Zeit
total elapsed time = total verstrichene Zeit
to find first item beginning with =findes des ersten Eintrags beginnend mit
transpose = Transposition
transposed = transponiert
true = wahr
type = Typ
undefined type = undefinierter Typ
unknown = unbekannt
unknowns = unbekannte
unset = nicht definiert
upper triangular part = oberer Dreiecksanteil
value = Wert
values = Werte
value type = Wertetyp
vertex = Ecke
Vertices = Ecken
vertices = Ecken
with dynamic update storage = mit einem dynamischen Updaten den Speicherung
yes = ja
