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This repository implements a solver for the Helmholtz equation in 2D using linear lagrange elements

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MIT license
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dazedsheep/FEMHelmholtzSolver

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reconstructedETA_helmholtz
reconstructedETA_helmholtz
 
 
study
study
 
 
.gitignore
.gitignore
 
 
HelmholtzCAccuracyAndPerf.m
HelmholtzCAccuracyAndPerf.m
 
 
LICENSE
LICENSE
 
 
README.md
README.md
 
 
TestExamplesHelmholtz.m
TestExamplesHelmholtz.m
 
 
accuracy_vs_element_size_vs_iterations.m
accuracy_vs_element_size_vs_iterations.m
 
 
assembleFEM.m
assembleFEM.m
 
 
assembleFEMC.m
assembleFEMC.m
 
 
beamSteering.m
beamSteering.m
 
 
calcPressureProfile.m
calcPressureProfile.m
 
 
constructF.m
constructF.m
 
 
constructHalfPlanePointSource.m
constructHalfPlanePointSource.m
 
 
constructKappa.m
constructKappa.m
 
 
createMesh.m
createMesh.m
 
 
createPointSource.m
createPointSource.m
 
 
createPointSourceOnBoundary.m
createPointSourceOnBoundary.m
 
 
createPointSourceWithAngles.m
createPointSourceWithAngles.m
 
 
domainTriangulation.m
domainTriangulation.m
 
 
gaussianSource.m
gaussianSource.m
 
 
getGridPoints.m
getGridPoints.m
 
 
getGridPointsLE.m
getGridPointsLE.m
 
 
getTransformationMatrix.m
getTransformationMatrix.m
 
 
getTransformationMatrixVec.m
getTransformationMatrixVec.m
 
 
greedy_delta.m
greedy_delta.m
 
 
h_func_ex1.m
h_func_ex1.m
 
 
h_func_ex1c.m
h_func_ex1c.m
 
 
h_func_ex2.m
h_func_ex2.m
 
 
initializeMultiLeveLSolver.m
initializeMultiLeveLSolver.m
 
 
integrate_fun_trimesh.m
integrate_fun_trimesh.m
 
 
intravascular_scenario.m
intravascular_scenario.m
 
 
introFigure.m
introFigure.m
 
 
llt.m
llt.m
 
 
mainHelmholtzVectorized.m
mainHelmholtzVectorized.m
 
 
mainThesis.m
mainThesis.m
 
 
multithreadedTest.m
multithreadedTest.m
 
 
numGradient.m
numGradient.m
 
 
numIntTriangle.m
numIntTriangle.m
 
 
numIntTriangleC.m
numIntTriangleC.m
 
 
num_sound_speed_study.m
num_sound_speed_study.m
 
 
num_study_pressure.m
num_study_pressure.m
 
 
paperSimulation.m
paperSimulation.m
 
 
paperSimulation_2.m
paperSimulation_2.m
 
 
populateTriangles.m
populateTriangles.m
 
 
profilingWesterveltSolver.m
profilingWesterveltSolver.m
 
 
regularizedDirac.m
regularizedDirac.m
 
 
self_convergence_test.m
self_convergence_test.m
 
 
simLinearArray.m
simLinearArray.m
 
 
solveForwardMultiLevel.m
solveForwardMultiLevel.m
 
 
solveHelmholtz.m
solveHelmholtz.m
 
 
solveHelmholtzC.m
solveHelmholtzC.m
 
 
solveHelmholtzCVectorized.m
solveHelmholtzCVectorized.m
 
 
solveHelmholtzCVectorizedKappaSampled.m
solveHelmholtzCVectorizedKappaSampled.m
 
 
solveHelmholtzCondensed.m
solveHelmholtzCondensed.m
 
 
solveHelmholtzCondensedC.m
solveHelmholtzCondensedC.m
 
 
solveHelmholtzCondensedCTest.m
solveHelmholtzCondensedCTest.m
 
 
solveHelmholtzVectorized.m
solveHelmholtzVectorized.m
 
 
solveHelmholtzVectorizedGPU.m
solveHelmholtzVectorizedGPU.m
 
 
solveHelmholtzVectorizedTmp.m
solveHelmholtzVectorizedTmp.m
 
 
solveWesterveltMultiLevel.m
solveWesterveltMultiLevel.m
 
 
solveWesterveltMultiLevelBoundaryExcitation.m
solveWesterveltMultiLevelBoundaryExcitation.m
 
 
solveWesterveltMultiLevelConstAfterM.m
solveWesterveltMultiLevelConstAfterM.m
 
 
solveWesterveltMultiLevelMT.m
solveWesterveltMultiLevelMT.m
 
 
solveWesterveltMultiLevelTest.m
solveWesterveltMultiLevelTest.m
 
 
testIterativeSystem.m
testIterativeSystem.m
 
 
testi.m
testi.m
 
 
thesistest.m
thesistest.m
 
 
thesistest2.m
thesistest2.m
 
 
transformFromUnitTriangle.m
transformFromUnitTriangle.m
 
 
triangleQuadrature.m
triangleQuadrature.m
 
 
westervelt_boundary.m
westervelt_boundary.m
 
 

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This repository provides two solvers:

FEM Helmholtz solver

Solver for the periodic non-linear Westervelt equation

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This repository implements a solver for the Helmholtz equation in 2D using linear lagrange elements

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