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FEMHelmholtzSolver

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

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Name		Name	Last commit message	Last commit date
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

About

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

4 stars

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