On Integral Equation Methods for the First Dirichlet Problem of the Biharmonic and Modified Biharmonic Equations in NonSmooth Domains
From MaRDI portal
Publication:4582848
DOI10.1137/17M1162238zbMath1398.65353MaRDI QIDQ4582848
Publication date: 24 August 2018
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Numerical methods for integral equations (65R20) Fredholm integral equations (45B05) Boundary value problems for linear higher-order PDEs (35G15)
Related Items (9)
An adaptive kernel-split quadrature method for parameter-dependent layer potentials ⋮ Solving Fredholm second-kind integral equations with singular right-hand sides on non-smooth boundaries ⋮ Accurate quadrature of nearly singular line integrals in two and three dimensions by singularity swapping ⋮ An accurate integral equation method for Stokes flow with piecewise smooth boundaries ⋮ A robust and high precision algorithm for elastic scattering problems from cornered domains ⋮ A boundary integral equation approach to computing eigenvalues of the Stokes operator ⋮ A Novel Integral Equation for Scattering by Locally Rough Surfaces and Application to the Inverse Problem: The Neumann Case ⋮ Solution of Stokes flow in complex nonsmooth 2D geometries via a linear-scaling high-order adaptive integral equation scheme ⋮ A fast integral equation method for the two-dimensional Navier-Stokes equations
Uses Software
Cites Work
- Quadrature by expansion: a new method for the evaluation of layer potentials
- Solving integral equations on piecewise smooth boundaries using the RCIP method: a tutorial
- A fast direct solver for the integral equations of scattering theory on planar curves with corners
- Second kind integral equation formulation for the modified biharmonic equation and its applications
- Universal quadratures for boundary integral equations on two-dimensional domains with corners
- On the Nyström discretization of integral equations on planar curves with corners
- Second kind integral equations for the first kind Dirichlet problem of the biharmonic equation in three dimensions
- A high-order integral algorithm for highly singular PDE solutions in Lipschitz domains
- Corner singularities for elliptic problems: Integral equations, graded meshes, quadrature, and compressed inverse preconditioning
- Integral equation methods for elliptic problems with boundary conditions of mixed type
- Elastostatic computations on aggregates of grains with sharp interfaces, corners, and triple-junctions
- Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains
- Integral equation formulation of the biharmonic Dirichlet problem
- A stabilized separation of variables method for the modified biharmonic equation
- A fast adaptive multipole algorithm in three dimensions
- Efficient discretization of Laplace boundary integral equations on polygonal domains
- Variants of an explicit kernel-split panel-based Nyström discretization scheme for Helmholtz boundary value problems
- On the solution of elliptic partial differential equations on regions with corners
- A Method for Solving Algebraic Equations Using an Automatic Computer
- On Deriving the Inverse of a Sum of Matrices
- Adaptive Quadrature by Expansion for Layer Potential Evaluation in Two Dimensions
- Integral Equation Methods in Scattering Theory
- A Recursive Skeletonization Factorization Based on Strong Admissibility
This page was built for publication: On Integral Equation Methods for the First Dirichlet Problem of the Biharmonic and Modified Biharmonic Equations in NonSmooth Domains
