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ReLU neural network Galerkin BEM - MaRDI portal

ReLU neural network Galerkin BEM (Q6159305)

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scientific article; zbMATH DE number 7698915

Language	Label	Description	Also known as
English	ReLU neural network Galerkin BEM	scientific article; zbMATH DE number 7698915

Statements

scholarly article

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ReLU neural network Galerkin BEM (English)

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Fernando Henríquez

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Christoph Schwab

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Journal of Scientific Computing

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publication date

20 June 2023

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MaRDI profile type

MaRDI publication profile

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Galerkin Neural Networks: A Framework for Approximating Variational Equations with Error Control

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HILBERT -- a MATLAB implementation of adaptive 2D-BEM. \(\underline {\text H}\)ilbert \(\underline {\text I}\)s a \(\underline {\text L}\)ovely \(\underline {\text B}\)oundary \(\underline {\text E}\)lement \(\underline {\text R}\)esearch \(\underline {\text T}\)ool

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On the exponential convergence of theh-p version for boundary element Galerkin methods on polygons

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Approximation and learning by greedy algorithms

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Boundary element methods for Maxwell transmission problems in Lipschitz domains

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Orthogonal Matching Pursuit for Sparse Signal Recovery With Noise

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An a posteriori error estimate for a first-kind integral equation

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A Posteriori Error Estimates for Boundary Element Methods

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Adaptive Boundary Element Mevthods for Some First Kind Integral Equations

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Boundary Integral Operators on Lipschitz Domains: Elementary Results

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Some remarks on greedy algorithms

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The Deep Ritz Method: a deep learning-based numerical algorithm for solving variational problems

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Adaptive boundary element methods. A posteriori error estimators, adaptivity, convergence, and implementation

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The optimal rate of convergence of the \(p\)-version of the boundary element method in two dimensions

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Advanced Boundary Element Methods

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Relu Deep Neural Networks and Linear Finite Elements

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Boundary Integral Equations

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Explicit Variational Forms for the Inverses of Integral Logarithmic Operators Over an Interval

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Deep ReLU networks and high-order finite element methods

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Physics-informed neural networks: a deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations

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Boundary Element Methods

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Deep learning in high dimension: Neural network expression rates for generalized polynomial chaos expansions in UQ

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An augmented galerkin procedure for the boundary integral method applied to two-dimensional screen and crack problems

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Deep UQ: learning deep neural network surrogate models for high dimensional uncertainty quantification

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Wavelet approximations for first kind boundary integral equations on polygons

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A hypersingular boundary integral method for two-dimensional screen and crack problems

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Identifiers

10.1007/s10915-023-02120-w

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6159305

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