Results 81 to 90 of about 36,161 (211)
Generalized Multiscale Finite Element Method for Elasticity Equations
, 2014 In this paper, we discuss the application of Generalized Multiscale Finite Element Method (GMsFEM) to elasticity equation in heterogeneous media. Our applications are motivated by elastic wave propagation in subsurface where the subsurface properties can
Chung, Eric T. +2 more
core +1 more source
Fault Friction, Plate Rheology, and Mantle Torques From a Global Dynamic Model of Neotectonics
Journal of Geophysical Research: Solid Earth, Volume 131, Issue 4, April 2026.Abstract Improvements in software, parallel computing, global data sets, and laboratory flow‐laws help to develop the global Earth5 thin‐shell finite‐element model of Bird et al. (2008, https://doi.org/10.1029/2007jb005460) into a benchmark study. All experiments confirm that modeled faults (other than megathrusts) have low effective friction of 0.085 ±
Peter Bird +2 more
wiley +1 more source
ExWave: A high performance discontinuous Galerkin solver for the acoustic wave equation
SoftwareX, 2019 A high performance implementation of a discontinuous Galerkin discretization with explicit Runge–Kutta and arbitrary derivative (ADER) time integration schemes is presented to solve the acoustic wave equation.
S. Schoeder, W.A. Wall, M. Kronbichler
doaj +1 more source
Regional wave propagation using the discontinuous Galerkin method [PDF]
Solid Earth, 2013 We present an application of the discontinuous Galerkin (DG) method to regional wave propagation. The method makes use of unstructured tetrahedral meshes, combined with a time integration scheme solving the arbitrary high-order derivative (ADER) Riemann ...
S. Wenk, C. Pelties, H. Igel, M. Käser
doaj +1 more source
A study of discontinuous Galerkin methods for thin bending problems [PDF]
, 2006 Various continuous/discontinuous Galerkin formulations are examined for the analysis of thin plates. These methods rely on weak imposition of continuity of the normal slope across element boundaries.
Dung, NT, Wells, GN
core
Mesh and Model Adaptivity for Multiscale Elastoplastic Models With Prandtl‐Reuss Type Material Laws
International Journal for Numerical Methods in Engineering, Volume 127, Issue 6, 30 March 2026.ABSTRACT Homogenization methods simulate heterogeneous materials like composites effectively, but high computational demands can offset their benefits. This work balances accuracy and efficiency by assessing model and discretization errors of the finite element method (FEM) through an adaptive numerical scheme.
Arnold Tchomgue Simeu +2 more
wiley +1 more source
Membrane finite element method for simulating fluid flow in porous medium
Water Science and Engineering, 2009 A new membrane finite element method for modeling fluid flow in a porous medium is presented in order to quickly and accurately simulate the geo-membrane fabric used in civil engineering.
Mei-li Zhan +4 more
doaj +1 more source
A posteriori error control for discontinuous Galerkin methods for parabolic problems
, 2010 We derive energy-norm a posteriori error bounds for an Euler time-stepping method combined with various spatial discontinuous Galerkin schemes for linear parabolic problems.
Emmanuil H. Georgoulis +4 more
core +1 more source
ADER discontinuous Galerkin schemes for aeroacoustics
Comptes Rendus. Mécanique, 2005 In this paper we apply the ADER approach to the Discontinuous Galerkin (DG) framework for the two-dimensional linearized Euler equations. The result is an efficient high order accurate single-step scheme in time which uses less storage than Runge–Kutta DG schemes, especially for very high order of accuracy.
Dumbser, Michael, C. D. Munz
openaire +2 more sources
Homogenization With Guaranteed Bounds via Primal‐Dual Physically Informed Neural Networks
International Journal for Numerical Methods in Engineering, Volume 127, Issue 6, 30 March 2026.ABSTRACT Physics‐informed neural networks (PINNs) have shown promise in solving partial differential equations (PDEs) relevant to multiscale modeling, but they often fail when applied to materials with discontinuous coefficients, such as media with piecewise constant properties. This paper introduces a dual formulation for the PINN framework to improve
Liya Gaynutdinova +3 more
wiley +1 more source