Coercive second-kind boundary integral equations for the Laplace Dirichlet problem on Lipschitz domains
From MaRDI portal
Publication:6586800
DOI10.1007/s00211-024-01424-9zbMATH Open1548.35119MaRDI QIDQ6586800
Euan A. Spence, S. N. Chandler-Wilde
Publication date: 13 August 2024
Published in: Numerische Mathematik (Search for Journal in Brave)
Numerical methods for integral equations (65R20) Boundary value problems for second-order elliptic equations (35J25) Fundamental solutions to PDEs (35A08) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Polarization and moment tensors. With applications to inverse problems and effective medium theory
- Boundary integral equations
- Nonvariational layer potentials with respect to Hölder continuous vector fields
- Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains
- Rapid solution of integral equations of classical potential theory
- L'intégrale de Cauchy définit un opératuer borne sur \(L^ 2 \)pour les courbes lipschitziennes
- A finite element method for some integral equations of the first kind
- Potential techniques for boundary value problems on \(C^1\)-domains
- Oblique derivative problems for the Laplacian in Lipschitz domains
- The construction of some efficient preconditioners in the boundary element method
- Wavelet-based preconditioners for boundary integral equations
- Boundary layer methods for Lipschitz domains in Riemannian manifolds
- Spectral radius properties for layer potentials associated with the elastostatics and hydrostatics equations in nonsmooth domains
- The method of layer potentials for non-smooth domains with arbitrary topology
- Rapid solution of first kind boundary integral equations in \(\mathbb R^3\).
- Zur Theorie des logarithmischen und des Newton'schen Potentials.
- Fast iterative boundary element methods for high-frequency scattering problems in 3D elastodynamics
- Solution of the Dirichlet problem for the Laplace equation.
- An overlapping domain decomposition preconditioner for high order BEM with anisotropic elements
- The inhomogeneous Dirichlet problem in Lipschitz domains
- Integral equations. Theory and numerical treatment
- Dirichlet problems in polyhedral domains. II: Approximation by FEM and BEM
- Coercivity, essential norms, and the Galerkin method for second-kind integral equations on polyhedral and Lipschitz domains
- Approximation variationnelle des problèmes aux limites
- Über das Dirichletsche Außenraumproblem für die Helmholtzsche Schwingungsgleichung
- Zur Dirichletschen Randwertaufgabe des Außenraumes der Schwingungsgleichung
- Operator preconditioning
- Wavelet approximations for first kind boundary integral equations on polygons
- Über die zusammenziehende und Lipschitzsche Transformationen.
- Approximate moment matrix decomposition in wavelet Galerkin BEM
- Darstellung der Eigenwerte von \(\Delta u+\lambda u=0\) durch ein Randintegral
- Applying GMRES to the Helmholtz equation with strong trapping: how does the number of iterations depend on the frequency?
- Layer potentials, the Hodge Laplacian, and global boundary problems in nonsmooth Riemannian manifolds
- Variational Iterative Methods for Nonsymmetric Systems of Linear Equations
- Biorthogonal wavelet bases for the boundary element method
- Condition number estimates for combined potential integral operators in acoustics and their boundary element discretisation
- Numerical Estimation of Coercivity Constants for Boundary Integral Operators in Acoustic Scattering
- Numerical-asymptotic boundary integral methods in high-frequency acoustic scattering
- A new frequency-uniform coercive boundary integral equation for acoustic scattering
- Coercivity of Combined Boundary Integral Equations in High-Frequency Scattering
- Regularity of mixed boundary value problems in ℝ3 and boundary element methods on graded meshes
- The decay of solutions of the exterior initial-boundary value problem for the wave equation
- ON THE INDEX AND SPECTRUM OF INTEGRAL OPERATORS OF POTENTIAL TYPE ALONG RADON CURVES
- An adapted Galerkin method for the resolution of Dirichlet and Neumann problems in a polygonal domain
- Fast direct solvers for integral equations in complex three-dimensional domains
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- Boundary Integral Operators on Lipschitz Domains: Elementary Results
- The Oblique Derivative Problem on Lipschitz Domains with L p Data
- On the Poisson integral for Lipschitz and $C^{1}$-domains
- The double-layer potential operator over polyhedral domains II: Spline Galerkin methods
- Decay for solutions of the exterior problem for the wave equation
- Cauchy integrals on Lipschitz curves and related operators
- Méthode d’éléments finis pour la résolution numérique de problèmes extérieurs en dimension $2$
- Un résultat de densité pour les équations de Maxwell régularisées dans un domaine lipschitzien
- The Conditioning of Boundary Element Equations on Locally Refined Meshes and Preconditioning by Diagonal Scaling
- The Numerical Solution of Integral Equations of the Second Kind
- Une méthode variationnelle d’éléments finis pour la résolution numérique d’un problème extérieur dans $\mathbf {R}^3$
- Surface scattering in three dimensions: an accelerated high–order solver
- Linear Water Waves
- The Laplace Equation
- BEM with linear complexity for the classical boundary integral operators
- Convergence analysis of Krylov subspace methods
- Wavelet Galerkin Algorithms for Boundary Integral Equations
- The reduction method for operators in Hilbert space
- Schwarz Methods and Multilevel Preconditioners for Boundary Element Methods
- Is the Helmholtz Equation Really Sign-Indefinite?
- Galerkin's method for boundary integral equations on polygonal domains
- High-frequency Bounds for the Helmholtz Equation Under Parabolic Trapping and Applications in Numerical Analysis
- Some Remarks on the Elman Estimate for GMRES
- An inequality for the reduced wave operator and the justification of geometrical optics
- The Dirichlet problem for elliptic systems in multiconnected rough regions
- Anisotropic Mesh Refinement: The Conditioning of Galerkin Boundary Element Matrices and Simple Preconditioners
- A Lipschitz Condition Preserving Extension for a Vector Function
- Boundary Element Methods
- Linear integral equations
- On C. Neumann's method for second-order elliptic systems in domains with non-smooth boundaries
This page was built for publication: Coercive second-kind boundary integral equations for the Laplace Dirichlet problem on Lipschitz domains