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Boundary Integral Operators on Lipschitz Domains: Elementary Results

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Outgoing claims: the papers this work cites, builds on, or argues with.

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Potential techniques for boundary value problems on C1-domains
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Remarks to Galerkin and Least Squares Methods with Finite Elements for General Elliptic Problems
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Calderón-Zygmund Operators, Pseudo-Differential Operators and the Cauchy Integral of Calderón
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Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains
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A finite element method for some integral equations of the first kind
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The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations
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Manuscripta Geodaetica
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Convolution equations and projection methods for their solution
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The Neumann problem on Lipschitz domains
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New bounds for solutions of second order elliptic partial differential equations
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The Dirichlet Problem in Non-Smooth Domains
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L'integrale de Cauchy Definit un Operateur Borne sur L 2 Pour Les Courbes Lipschitziennes
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On the Poisson integral for Lipschitz and $C^{1}$-domains

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Incoming claims: where this work appears in other papers’ reference lists and arguments.

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TBETI
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Introduction
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Boundary Integral Equations and Their Approximations
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Geometric Structures of Helmholtz’s Transmission Eigenfunctions with General Transmission Conditions and Applications
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Introduction
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Generalized Brinkman Operators with Smooth Coefficients: Fundamental Solutions and Layer Potentials
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Stokes and Navier-Stokes Systems with Non-smooth Coefficients in Lipschitz Domains
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Preliminaries
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Layer Potentials for the Constant-Coefficient Brinkman System in Bounded, Lipschitz Domains
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On the Invertibility of Some Elliptic Operators on Manifolds with Boundary and Cylindrical Ends
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On the Spectrum of Volume Integral Operators in Acoustic Scattering
inferred← citeshttps://doi.org/10.1007/978-3-319-16727-5_15openalex-snapshot
Analysis of Boundary–Domain Integral Equations for Variable-Coefficient Dirichlet BVP in 2D
inferred← citeshttps://doi.org/10.1007/978-3-319-16727-5_34openalex-snapshot
BDIE System in the Mixed BVP for the Stokes Equations with Variable Viscosity
inferred← citeshttps://doi.org/10.1007/978-3-319-25202-5_6openalex-snapshot
Governing Equation
inferred← citeshttps://doi.org/10.1007/978-3-319-26645-9openalex-snapshot
Retarded Potentials and Time Domain Boundary Integral Equations: A Road Map
inferred← citeshttps://doi.org/10.1007/978-3-319-47079-5_7openalex-snapshot
Spline Galerkin Methods for the Double Layer Potential Equations on Contours with Corners
inferred← citeshttps://doi.org/10.1007/978-3-319-59384-5_19openalex-snapshot
A New Family of Boundary-Domain Integral Equations for the Mixed Exterior Stationary Heat Transfer Problem with Variable Coefficient
inferred← citeshttps://doi.org/10.1007/978-3-319-59384-5_26openalex-snapshot
Stability of the Laplace Single Layer Boundary Integral Operator in Sobolev Spaces
inferred← citeshttps://doi.org/10.1007/978-3-319-59384-5_3openalex-snapshot
Analysis of Boundary-Domain Integral Equations for Variable-Coefficient Neumann BVP in 2D
inferred← citeshttps://doi.org/10.1007/978-3-319-92001-6_2openalex-snapshot
Some Elements of Potential Theory
inferred← citeshttps://doi.org/10.1007/978-3-319-92001-6_5openalex-snapshot
The Signorini Problem and More Nonsmooth BVPs and Their Boundary Integral Formulation
inferred← citeshttps://doi.org/10.1007/978-3-319-92001-6_8openalex-snapshot
Exponential Convergence of hp-BEM
inferred← citeshttps://doi.org/10.1007/978-3-319-92001-6_9openalex-snapshot
Mapping Properties of Integral Operators on Polygons
inferred← citeshttps://doi.org/10.1007/978-3-322-85161-1_14openalex-snapshot
Wavelet Approximation Methods for Integral and Pseudodifferential Equations
inferred← citeshttps://doi.org/10.1007/978-3-322-85161-1_2openalex-snapshot
Developments in Boundary Element Methods for Time-Dependent Problems
inferred← citeshttps://doi.org/10.1007/978-3-322-85161-1_6openalex-snapshot
Implementational Details of the Boundary Element Method
inferred← citeshttps://doi.org/10.1007/978-3-322-86200-6_11openalex-snapshot
On Multigrid Methods of the First Kind for Symmetric Boundary Integral Equations of Nonnegative Order
inferred← citeshttps://doi.org/10.1007/978-3-322-86859-6_3openalex-snapshot
An a posteriori error estimate for the unsymmetric coupling of FEM and BEM
inferred← citeshttps://doi.org/10.1007/978-3-322-86859-6_4openalex-snapshot
On Numerical Treatment of Coupled BEM and FEM for Nonlinear Exterior Problems
inferred← citeshttps://doi.org/10.1007/978-3-322-89941-5_12openalex-snapshot
Domain Decomposition Boundary Element Methods: Preprocessing and Parallel Solution
inferred← citeshttps://doi.org/10.1007/978-3-322-89941-5_18openalex-snapshot
An Extraction Technique for Boundary Element Methods
inferred← citeshttps://doi.org/10.1007/978-3-322-89941-5_19openalex-snapshot
Fast Solvers for the Symmetric Boundary Element Method
inferred← citeshttps://doi.org/10.1007/978-3-322-89941-5_3openalex-snapshot
A Galerkin-Type Boundary Element Implementation for 3d Elasticity Problems by Using a Computer Algebra System
inferred← citeshttps://doi.org/10.1007/978-3-322-89941-5_7openalex-snapshot
Hierarchical Basis Preconditioners for Coupled Fem-Bem Equations
inferred← citeshttps://doi.org/10.1007/978-3-540-47533-0_1openalex-snapshot
Some Historical Remarks on the Positivity of Boundary Integral Operators
inferred← citeshttps://doi.org/10.1007/978-3-540-47533-0_3openalex-snapshot
Coupled Finite and Boundary Element Domain Decomposition Methods
inferred← citeshttps://doi.org/10.1007/978-3-540-47533-0_4openalex-snapshot
The hp-Version of the Boundary Element Method for the Lamé Equation in 3D
inferred← citeshttps://doi.org/10.1007/978-3-540-47533-0_9openalex-snapshot
Boundary Element Methods for Eddy Current Computation
inferred← citeshttps://doi.org/10.1007/978-3-540-68545-6_2openalex-snapshot
Boundary Integral Equations
inferred← citeshttps://doi.org/10.1007/978-3-540-73778-0_1openalex-snapshot
Stabilized FEM–BEM Coupling for Maxwell Transmission Problems
inferred← citeshttps://doi.org/10.1007/978-3-642-03413-8_8openalex-snapshot
Rapid solution of boundary integral equations by wavelet Galerkin schemes
inferred← citeshttps://doi.org/10.1007/978-3-642-11795-4_63openalex-snapshot
A MHD Problem on Unbounded Domains: Coupling of FEM and BEM
inferred← citeshttps://doi.org/10.1007/978-3-642-23588-7_1openalex-snapshot
Preliminaries
inferred← citeshttps://doi.org/10.1007/978-3-642-23588-7_2openalex-snapshot
One-Level FETI/BETI Methods
inferred← citeshttps://doi.org/10.1007/978-3-642-23588-7_3openalex-snapshot
Multiscale Problems
inferred← citeshttps://doi.org/10.1007/978-3-642-23588-7_4openalex-snapshot
Unbounded Domains
inferred← citeshttps://doi.org/10.1007/978-3-642-23588-7_5openalex-snapshot
Dual-Primal Methods
inferred← citeshttps://doi.org/10.1007/978-3-642-25670-7_8openalex-snapshot
Engineering Multibody Contact Problems Solved by Scalable TBETI
inferred← citeshttps://doi.org/10.1007/978-3-642-49373-7_38openalex-snapshot
On the Coupling of Finite Elements and Boundary Elements
inferred← citeshttps://doi.org/10.1007/978-3-642-51027-4_9openalex-snapshot
On Volterra Boundary Integral Equations of the First Kind for Nonstationary Stokes Equations
inferred← citeshttps://doi.org/10.1007/978-3-642-51682-5_30openalex-snapshot
On Stability for Semicoercive Variational Inequalities Applied to Constrained Market Equilibria and Neumann-Signorini Problems
inferred← citeshttps://doi.org/10.1007/978-3-642-55483-4_3openalex-snapshot
Galerkin Boundary Element Methods for Electromagnetic Scattering
inferred← citeshttps://doi.org/10.1007/978-3-642-55745-3_8openalex-snapshot
Boundary Element Methods for Eddy Current Computation
inferred← citeshttps://doi.org/10.1007/978-3-642-56470-3_9openalex-snapshot
On the Representation of Differential Forms by Potentials in Dimension 3
inferred← citeshttps://doi.org/10.1007/978-3-642-58175-5_2openalex-snapshot
Boundary Integral Equations
inferred← citeshttps://doi.org/10.1007/978-3-642-60791-2_17openalex-snapshot
The hp-Version of the BEM with Geometric Meshes in 3D
inferred← citeshttps://doi.org/10.1007/978-3-642-60791-2_21openalex-snapshot
Local, Residual-Based A Posteriori Error Estimates Forcing Adaptive Boundary Element Methods
inferred← citeshttps://doi.org/10.1007/978-3-642-60791-2_22openalex-snapshot
Domain Decomposition and Preconditioning Techniques in Boundary Element Methods
inferred← citeshttps://doi.org/10.1007/978-3-642-60791-2_7openalex-snapshot
Adaptive Domain Decomposition Methods for Finite and Boundary Element Equations
inferred← citeshttps://doi.org/10.1007/978-3-642-60791-2_9openalex-snapshot
Integral Equations arising from Instationary Flows around Thin Wings
inferred← citeshttps://doi.org/10.1007/978-3-642-83003-7_13openalex-snapshot
Coupling of Finite Elements and Boundary Elements for Transmission Problems of Elastic Waves in R3
inferred← citeshttps://doi.org/10.1007/978-3-642-85463-7_2openalex-snapshot
Variational Methods for BEM
inferred← citeshttps://doi.org/10.1007/978-3-642-85463-7_22openalex-snapshot
Solution of Boundary Value Problems by Integral Equations of the First Kind — A Update
inferred← citeshttps://doi.org/10.1007/978-3-662-04015-7_22openalex-snapshot
A New a Posteriori Error Estimator in Adaptive Direct Boundary Element Methods. The Neumann Problem
inferred← citeshttps://doi.org/10.1007/978-3-662-06721-5_1openalex-snapshot
Elliptic Boundary Problems
inferred← citeshttps://doi.org/10.1007/978-3-662-21908-9_26openalex-snapshot
Symmetric Methods for the Coupling of Finite Elements and Boundary Elements (Invited contribution)
inferred← citeshttps://doi.org/10.1007/978-3-662-47794-6_16openalex-snapshot
A Mathematical Foundations
inferred← citeshttps://doi.org/10.1007/978-3-663-13997-3_10openalex-snapshot
On the Applicability of the Fredholm-Radon Method in Potential Theory and the Panel Method
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