Error Analysis of the Deep Mixed Residual Method for High-order Elliptic Equations
Fuente:
arXiv
Guardado en:
| Autores principales: | Bai, Mengjia, Chen, Jingrun, Du, Rui, Sun, Zhiwei |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
Ejemplares similares
Nonconforming virtual element method for general second-order elliptic problems on curved domain
por: Liu, Yi, et al.
Publicado: (2024)
por: Liu, Yi, et al.
Publicado: (2024)
A Deep Uzawa-Lagrange Multiplier Approach for Boundary Conditions in PINNs and Deep Ritz Methods
por: Makridakis, Charalambos G., et al.
Publicado: (2024)
por: Makridakis, Charalambos G., et al.
Publicado: (2024)
Kernel compensation method for Maxwell eigenproblem with mimetic finite difference discretization
por: Jin, Chenhao, et al.
Publicado: (2025)
por: Jin, Chenhao, et al.
Publicado: (2025)
On Convergence of a Three-Layer Semi-Discrete Scheme for the Nonlinear Dynamic String Equation of Kirchhoff-Type with Time-Dependent Coefficients
por: Rogava, Jemal, et al.
Publicado: (2023)
por: Rogava, Jemal, et al.
Publicado: (2023)
A convergence framework for energy minimisation of linear self-adjoint elliptic PDEs in nonlinear approximation spaces
por: Magueresse, Alexandre, et al.
Publicado: (2025)
por: Magueresse, Alexandre, et al.
Publicado: (2025)
Energy minimisation using overlapping tensor-product free-knot B-splines
por: Magueresse, Alexandre, et al.
Publicado: (2025)
por: Magueresse, Alexandre, et al.
Publicado: (2025)
The non-intrusive reduced basis two-grid method applied to sensitivity analysis
por: Grosjean, Elise, et al.
Publicado: (2023)
por: Grosjean, Elise, et al.
Publicado: (2023)
Parametric Finite Element Discretization of the Surface Stokes Equations
por: Hardering, Hanne, et al.
Publicado: (2023)
por: Hardering, Hanne, et al.
Publicado: (2023)
A High Order Geometry Conforming Immersed Finite Element for Elliptic Interface Problems
por: Adjerid, Slimane, et al.
Publicado: (2023)
por: Adjerid, Slimane, et al.
Publicado: (2023)
A posteriori error analysis, Pod-Deim reduced order geometrically parametrized models and unfitted FEMs
por: Karatzas, Efthymios N.
Publicado: (2026)
por: Karatzas, Efthymios N.
Publicado: (2026)
A Posteriori Error Estimates for $hp$-FE Discretizations in Elastoplasticity
por: Bammer, Patrick, et al.
Publicado: (2024)
por: Bammer, Patrick, et al.
Publicado: (2024)
Mixed Finite Elements of Higher-Order in Elastoplasticity
por: Bammer, Patrick, et al.
Publicado: (2024)
por: Bammer, Patrick, et al.
Publicado: (2024)
High order finite-difference ghost-point methods for elliptic problems in domains with curved boundaries
por: Coco, Armando, et al.
Publicado: (2024)
por: Coco, Armando, et al.
Publicado: (2024)
The Rhie-Chow stabilized Box Method for the Stokes problem
por: Negrini, G., et al.
Publicado: (2023)
por: Negrini, G., et al.
Publicado: (2023)
Construction of Basis Functions for the Geometry Conforming Immersed Finite Element Method
por: Adjerid, Slimane, et al.
Publicado: (2025)
por: Adjerid, Slimane, et al.
Publicado: (2025)
Bound-Preserving Adaptive Time-Stepping Method with Energy Stability for Simulating Compressible Gas Flow in Poroelastic Media
por: Chen, Huangxin, et al.
Publicado: (2026)
por: Chen, Huangxin, et al.
Publicado: (2026)
Efficient and well-conditioned ghost-point discretization of boundary operators on unfitted domains
por: Coco, Armando, et al.
Publicado: (2026)
por: Coco, Armando, et al.
Publicado: (2026)
What is a POLYNOMIAL-TIME Computable L2-Function?
por: Bacho, Aras, et al.
Publicado: (2026)
por: Bacho, Aras, et al.
Publicado: (2026)
High-order primal mixed finite element method for boundary-value correction on curved domain
por: Hou, Yongli, et al.
Publicado: (2024)
por: Hou, Yongli, et al.
Publicado: (2024)
High-order temporal parametric finite element methods for simulating solid-state dewetting
por: Gan, Xiaowen, et al.
Publicado: (2025)
por: Gan, Xiaowen, et al.
Publicado: (2025)
A Structure-Preserving PML-Domain-Embedding Method for Acoustic Wave Scattering by Moving Objects
por: Gu, Xuelong, et al.
Publicado: (2026)
por: Gu, Xuelong, et al.
Publicado: (2026)
New Adaptive Numerical Methods Based on Dual Formulation of Hyperbolic Conservation Laws
por: Chertock, Alina, et al.
Publicado: (2026)
por: Chertock, Alina, et al.
Publicado: (2026)
Reduced basis solvers for unfitted methods on parameterized domains
por: Mueller, Nicholas, et al.
Publicado: (2025)
por: Mueller, Nicholas, et al.
Publicado: (2025)
A tensor-train reduced basis solver for parameterized partial differential equations on Cartesian grids
por: Mueller, Nicholas, et al.
Publicado: (2024)
por: Mueller, Nicholas, et al.
Publicado: (2024)
Concepts for Composing Finite Element Function Space Bases
por: Engwer, Christian, et al.
Publicado: (2025)
por: Engwer, Christian, et al.
Publicado: (2025)
Fully discrete Galerkin scheme for a semilinear subdiffusion equation with nonsmooth data and time-dependent coefficient
por: Płociniczak, Łukasz, et al.
Publicado: (2023)
por: Płociniczak, Łukasz, et al.
Publicado: (2023)
Convergence rate of the spectral difference method on regular triangular meshes
por: Bakhvalov, Pavel
Publicado: (2024)
por: Bakhvalov, Pavel
Publicado: (2024)
A well posed and stable canonical evaporation model problem for phase-change in two-phase flows
por: Nordström, Jan
Publicado: (2026)
por: Nordström, Jan
Publicado: (2026)
Let data talk: data-regularized operator learning theory for inverse problems
por: Chen, Ke, et al.
Publicado: (2023)
por: Chen, Ke, et al.
Publicado: (2023)
hp-Finite Elements for Elastoplasticity
por: Bammer, Patrick, et al.
Publicado: (2026)
por: Bammer, Patrick, et al.
Publicado: (2026)
Multigrid methods for the ghost finite element approximation of elliptic problems
por: Dilip, Hridya, et al.
Publicado: (2025)
por: Dilip, Hridya, et al.
Publicado: (2025)
The Frenet immersed finite element method for elliptic interface problems: An error analysis
por: Adjerid, Slimane, et al.
Publicado: (2024)
por: Adjerid, Slimane, et al.
Publicado: (2024)
A new mixed finite element method for arbitrary element pair for a quasi-static nonlinear permeability thermo-poroelasticity model
por: Ge, Zhihao, et al.
Publicado: (2023)
por: Ge, Zhihao, et al.
Publicado: (2023)
A monotone finite element method for reaction-drift-diffusion equations with discontinuous reaction coefficients
por: Heldman, Max
Publicado: (2024)
por: Heldman, Max
Publicado: (2024)
Physics-informed Temporal Alignment for Auto-regressive PDE Foundation Models
por: Zhu, Congcong, et al.
Publicado: (2025)
por: Zhu, Congcong, et al.
Publicado: (2025)
FIAT: enabling classical and modern macroelements
por: Brubeck, Pablo D., et al.
Publicado: (2025)
por: Brubeck, Pablo D., et al.
Publicado: (2025)
An exponential-free Runge--Kutta framework for developing third-order unconditionally energy stable schemes for the Cahn--Hilliard equation
por: Wang, Haifeng, et al.
Publicado: (2024)
por: Wang, Haifeng, et al.
Publicado: (2024)
Analyticity and Stable Computation of Dirichlet-Neumann Operators for Laplace's Equation under Quasiperiodic Boundary Conditions in Two and Three Dimensions
por: Nicholls, David P., et al.
Publicado: (2024)
por: Nicholls, David P., et al.
Publicado: (2024)
Mixed precision HODLR matrices
por: Carson, Erin, et al.
Publicado: (2024)
por: Carson, Erin, et al.
Publicado: (2024)
An adaptive Deep Ritz framework for second-order fully nonlinear partial differential equations
por: Caboussat, Alexandre, et al.
Publicado: (2026)
por: Caboussat, Alexandre, et al.
Publicado: (2026)
Ejemplares similares
-
Nonconforming virtual element method for general second-order elliptic problems on curved domain
por: Liu, Yi, et al.
Publicado: (2024) -
A Deep Uzawa-Lagrange Multiplier Approach for Boundary Conditions in PINNs and Deep Ritz Methods
por: Makridakis, Charalambos G., et al.
Publicado: (2024) -
Kernel compensation method for Maxwell eigenproblem with mimetic finite difference discretization
por: Jin, Chenhao, et al.
Publicado: (2025) -
On Convergence of a Three-Layer Semi-Discrete Scheme for the Nonlinear Dynamic String Equation of Kirchhoff-Type with Time-Dependent Coefficients
por: Rogava, Jemal, et al.
Publicado: (2023) -
A convergence framework for energy minimisation of linear self-adjoint elliptic PDEs in nonlinear approximation spaces
por: Magueresse, Alexandre, et al.
Publicado: (2025)