Cover Image

$Γ$-convergence of an Enhanced Finite Element Method for Manià's and Foss's Problems Exhibiting the Lavrentiev Gap Phenomenon

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Feng, Xiaobing, Siktar, Joshua M.
Format:	Preprint
Published:	2024
Subjects:	Numerical Analysis 65K10, 65K99, 65M60
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Polytope Division Method: A Scalable Sampling Method for Problems with High-dimensional Parameters
by: Nielen, Evie, et al.
Published: (2024)

A convergent finite element method with minimal deformation rate for mean curvature flow
by: Huang, Tiantian, et al.
Published: (2026)

Efficient Admissible Set Projection in Optimization-based Invariant-Domain-Preserving Limiters for Ideal MHD
by: Liu, Chen, et al.
Published: (2026)

Efficient optimization-based invariant-domain-preserving limiters in solving gas dynamics equations
by: Liu, Chen, et al.
Published: (2025)

BDF schemes for accelerated gradient flows in projection-free approximation of nonconvex constrained variational minimization
by: Dong, Guozhi, et al.
Published: (2024)

Finite element 3D models of melanoma growth and time-dependent backscattered data for dielectric properties of melanoma at 6 GHz
by: Lindström, Eric, et al.
Published: (2025)

H-CMRH: a novel inner product free hybrid Krylov method for large-scale inverse problems
by: Brown, Ariana N., et al.
Published: (2024)

A simple and efficient convex optimization based bound-preserving high order accurate limiter for Cahn-Hilliard-Navier-Stokes system
by: Liu, Chen, et al.
Published: (2023)

Numerical reconstructions of a source term in a mobile-immobile diffusion model from the partial interior observation
by: Yang, Zhiwei, et al.
Published: (2025)

Optimal higher-order convergence rates for parabolic multiscale problems
by: Kalyanaraman, Balaje, et al.
Published: (2025)

A Discontinuous Galerkin Scheme for the Cahn-Hilliard Equations with Discrete Maximum Principle for Arbitrary Polynomial Order
by: Gunnarsson, Jimmy Kornelije, et al.
Published: (2026)

Reconstructing the dielectric properties of melanoma in 3D using real-life melanoma model
by: Kyhn, Georg, et al.
Published: (2025)

A Stabilized Parametric Finite Element Method for Surface Diffusion with an Arbitrary Surface Energy
by: Zhang, Yulin, et al.
Published: (2024)

Two-Level Sketching Alternating Anderson acceleration for Complex Physics Applications
by: Barnafi, Nicolás A., et al.
Published: (2025)

Solving Semi-Discrete Optimal Transport Problems: star shapedeness and Newton's method
by: Dieci, Luca, et al.
Published: (2023)

Error bounds for Physics Informed Neural Networks in Nonlinear Schrödinger equations placed on unbounded domains
by: Alejo, Miguel Á., et al.
Published: (2024)

A two-grid Adaptive Finite Element Method for the Dirichlet Boundary Control Problem Governed by Stokes Equation
by: Gudi, Thirupathi, et al.
Published: (2024)

A New Error Analysis for Finite Element Methods for Elliptic Neumann Boundary Control Problems with Pointwise Control Constraints
by: Brenner, Susanne C., et al.
Published: (2024)

Energy-consistent Petrov-Galerkin time discretization of port-Hamiltonian systems
by: Giesselmann, Jan, et al.
Published: (2024)

A Predictor Corrector Convex Splitting Method for Stefan Problems Based on Extreme Learning Machines
by: Lang, Siyuan, et al.
Published: (2026)

A posteriori analysis for nonlinear convection-diffusion systems
by: Dedner, Andreas, et al.
Published: (2025)

A concurrent global-local numerical method for multiscale parabolic equations
by: Liao, Yulei, et al.
Published: (2025)

A 3D-1D Virtual Element Method for Modeling Root Water Uptake
by: Berrone, Stefano, et al.
Published: (2024)

Aubin--Nitsche-type estimates for space-time FOSLS for parabolic PDEs
by: Führer, Thomas, et al.
Published: (2024)

Numerical analysis for subdiffusion problem with non-positive memory
by: Qiu, Wenlin, et al.
Published: (2025)

A multiscale Abel kernel and application in viscoelastic problem
by: Qiu, Wenlin, et al.
Published: (2024)

A Stabilized Trace FEM for Surface Cahn--Hilliard Equations: Analysis and Simulations
by: Garg, Deepika, et al.
Published: (2025)

Improved a priori error estimates for a space-time finite element method for parabolic problems
by: Ta, Thi Thanh Mai, et al.
Published: (2025)

Convergence analysis of three semi-discrete numerical schemes for nonlocal geometric flows including perimeter terms
by: Wei, Jiang, et al.
Published: (2024)

SUPG-stabilized time-DG finite and virtual elements for the time-dependent advection-diffusion equation
by: Da Veiga, Lourenço Beirão, et al.
Published: (2024)

Finite element exterior calculus for time-dependent Hamiltonian partial differential equations
by: Stern, Ari, et al.
Published: (2025)

Runge-Kutta Discontinuous Galerkin Method Based on Flux Vector Splitting with Constrained Optimization-based TVB(D)-minmod Limiter for Solving Hyperbolic Conservation Laws
by: Xie, Zhengrong
Published: (2024)

Scaling crossover of the generalized Jeffreys-type law
by: Ma, Fugui
Published: (2025)

A Posteriori Error Analysis of Runge-Kutta Discontinuous Galerkin Schemes with SIAC Post-Processing for Nonlinear Convection-Diffusion Systems
by: Giesselmann, Jan, et al.
Published: (2026)

Guaranteed lower bounds for cost functionals of time-periodic parabolic optimization problems
by: Wolfmayr, Monika
Published: (2019)

Conservative and dissipative discretisations of multi-conservative ODEs and GENERIC systems
by: Andrews, Boris D., et al.
Published: (2025)

A Generalized Alternating Anderson Acceleration Method
by: He, Yunhui, et al.
Published: (2025)

Error Inhibiting Methods for Finite Elements
by: Ditkowski, Adi, et al.
Published: (2020)

Error Inhibiting Methods for Finite Elements
by: Ditkowski, Adi, et al.
Published: (2024)

Optimal ${L^2}$ error estimates for 2D/3D incompressible Cahn--Hilliard--magnetohydrodynamic equations
by: Su, Haiyan, et al.
Published: (2025)