Learning Robust Marking Policies for Adaptive Mesh Refinement (Q6189171)

scientific article; zbMATH DE number 7801546

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English	Learning Robust Marking Policies for Adaptive Mesh Refinement	scientific article; zbMATH DE number 7801546

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instance of

scholarly article

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title

Learning Robust Marking Policies for Adaptive Mesh Refinement (English)

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SIAM Journal on Scientific Computing

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publication date

8 February 2024

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full work available at URL

https://arxiv.org/abs/2207.06339

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zbMATH Keywords

adaptive mesh refinement

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reinforcement learning

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finite element method

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\(hp\)-refinement

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machine learning

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MaRDI profile type

MaRDI publication profile

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cites work

Q2784320

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Aspects of an adaptive \(hp\)-finite element method: Adaptive strategy, conforming approximation and efficient solvers

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MFEM: a modular finite element methods library

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Machine learning based refinement strategies for polyhedral grids with applications to virtual element and polyhedral discontinuous Galerkin methods

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Refinement of polygonal grids using convolutional neural networks with applications to polygonal discontinuous Galerkin and virtual element methods

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Thepandh-pVersions of the Finite Element Method, Basic Principles and Properties

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Recurrent neural networks as optimal mesh refinement strategies

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Moving Mesh Generation Using the Parabolic Monge–Ampère Equation

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Axioms of adaptivity

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Output-based adaptive aerodynamic simulations using convolutional neural networks

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Q2778914

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Efficient Time-Stepping for Numerical Integration Using Reinforcement Learning

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On an h-type mesh-refinement strategy based on minimization of interpolation errors

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Toward a universal h-p adaptive finite element strategy. I: Constrained approximation and data structure

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A fully automatic \(hp\)-adaptivity

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A Convergent Adaptive Algorithm for Poisson’s Equation

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The h-p version of the finite element method. I. The basic approximation results

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Sobolev regularity estimation for hp-adaptive finite element methods

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A note on the design of \(hp\)-adaptive finite element methods for elliptic partial differential equations

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Lower bounds of the discretization error for piecewise polynomials

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On residual-based a posteriori error estimation in hp-FEM

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A collection of 2D elliptic problems for testing adaptive grid refinement algorithms

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A Comparison of hp -Adaptive Strategies for Elliptic Partial Differential Equations

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Convergence of Adaptive Finite Element Methods

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Toward a universal h-p adaptive finite element strategy. II: A posteriori error estimation

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A systematic strategy for simultaneous adaptive \(hp\) finite element mesh modification using nonlinear programming

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Toward a universal h-p adaptive finite element strategy. III: Design of h-p meshes

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Optimality of a standard adaptive finite element method

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Q4626283

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The superconvergent patch recovery anda posteriori error estimates. Part 1: The recovery technique

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The superconvergent patch recovery anda posteriori error estimates. Part 2: Error estimates and adaptivity

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Identifiers

arXiv ID

2207.06339

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6189171