Domain decomposition parabolic Monge-Ampère approach for fast generation of adaptive moving meshes
DOI10.1016/j.camwa.2020.12.007OpenAlexW3120105332MaRDI QIDQ2226810
Publication date: 9 February 2021
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.14602
domain decompositionparallel computingadaptive meshparabolic Monge-Ampère equationoverlapping domain
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)
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Cites Work
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- Optimal mass transport for higher dimensional adaptive grid generation
- Adaptive moving mesh methods
- Robust, multidimensional mesh-motion based on Monge-Kantorovich equidistribution
- An efficient approach for the numerical solution of the Monge-Ampère equation
- High-order adaptive methods for parabolic systems
- Review of some adaptive node-movement techniques in finite-element and finite-difference solutions of partial differential equations
- A numerical study of three moving-grid methods for one-dimensional partial differential equations which are based on the method of lines
- A stabilized explicit Lagrange multiplier based domain decomposition method for parabolic problems
- On the optimal mapping of distributions
- Simple adaptive grids for 1-D initial value problems
- Equidistribution schemes, Poisson generators, and adaptive grids
- The moving finite element method: Applications to general partial differential equations with multiple large gradients
- Moving mesh methods based on moving mesh partial differential equations
- A new parallel algorithm for solving parabolic equations
- Overlapping Schwarz waveform relaxation for the heat equation in \(n\) dimensions
- Computational solution of two-dimensional unsteady PDEs using moving mesh methods
- Variational mesh adaptation. II: Error estimates and monitor functions
- A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem
- The Schwarz alternating method in solid mechanics
- Parallel stochastic methods for PDE based grid generation
- Discrete analysis of domain decomposition approaches for mesh generation via the equidistribution principle
- Generating Equidistributed Meshes in 2D via Domain Decomposition
- Moving Mesh Generation Using the Parabolic Monge–Ampère Equation
- Domain Decomposition Approaches for Mesh Generation via the Equidistribution Principle
- A Finite Difference Domain Decomposition Algorithm for Numerical Solution of the Heat Equation
- Domain Decomposition Methods With Overlapping Subdomains For The Time-Dependent Problems Of Mathematical Physics
- Adaptivity with moving grids
- Moving Finite Elements. I
- Moving Finite Elements. II
- A Moving Finite Element Method with Error Estimation and Refinement for One-Dimensional Time Dependent Partial Differential Equations
- Polar factorization and monotone rearrangement of vector‐valued functions
- Moving Mesh Strategy Based on a Gradient Flow Equation for Two-Dimensional Problems
- Multiplicative Schwarz Methods for Parabolic Problems
- Moving Mesh Partial Differential Equations (MMPDES) Based on the Equidistribution Principle
- Explicit/Implicit, Conservative Domain Decomposition Procedures for Parabolic Problems Based on Block-Centered Finite Differences
- Waveform Relaxation with Overlapping Splittings
- A Moving Mesh Method Based on the Geometric Conservation Law
- Domain Decomposition Approaches for PDE Based Mesh Generation
- Optimized Schwarz Methods with Robin Transmission Conditions for Parabolic Problems
- Non-iterative parallel Schwarz algorithms based on overlapping domain decomposition for parabolic partial differential equations
- Measuring Mesh Qualities and Application to Variational Mesh Adaptation
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