Results 41 to 50 of about 17,526,953 (165)
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT Stochastic Galerkin methods offer unexplored potential for the numerical simulation of parabolic problems with random variables, in particular if they are combined with variational discretizations of the space and time variables. Due to the high dimensionality, the solution of the arising algebraic systems do not become feasible without ...
Moataz Dawor +2 more
wiley +1 more source
A class of Petrov-Galerkin finite element methods for the numerical solution of the stationary convection-diffusion equation. [PDF]
, 1996 A class of Petrov-Galerkin finite element methods is proposed for the numerical solution of the n dimensional stationary convection-diffusion equation.
Perella, A.J., Perella, Andrew James
core
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT Strain‐space reduced cubature techniques such as the Empirically Corrected Cluster Cubature (E3C) considerably reduce the integration effort incurred in computational homogenisation problems. In this work, we apply E3C in tandem with projection‐based model reduction techniques utilising both linear and quadratic approximation spaces.
Erik Faust, Dong Zhao, Lisa Scheunemann
wiley +1 more source
Engineering Reports, Volume 8, Issue 10, October 2026.This work presents a comprehensive computational investigation of magneto hydrodynamic mixed convection nanofluid flow over a stretching sheet by incorporating the coupled effects of velocity and thermal slip, suction, Brownian motion, thermophoresis, thermal radiation, viscous dissipation, and mixed convection. The study provides new insights into the
Mazhar Hussain +5 more
wiley +1 more source
Multiphysics Simulation of Positive Streamer Discharge in Air Using Finite Element Method
International Journal for Numerical Methods in Engineering, Volume 127, Issue 18, 30 September 2026.ABSTRACT Streamer discharge modeling by means of the Finite Element Method (FEM) presents a formidable challenge in computational physics due to its nonlinear and convection‐dominated characteristics that cause numerical instabilities, including negative densities of charged particles.
Hasupama Jayasinghe +3 more
wiley +1 more source
Analysis of the discontinuous Galerkin method for elliptic problems on surfaces [PDF]
, 2013 We extend the discontinuous Galerkin framework to a linear second-order elliptic problem on a compact smooth connected and oriented surface in ℝ3. An interior penalty (IP) method is introduced on a discrete surface and we derive a priori error estimates ...
Stinner, Björn +5 more
core +1 more source
Maximum‐Entropy‐Based Meshless Modeling of Surface‐Tension‐Driven Large Deformation
International Journal for Numerical Methods in Engineering, Volume 127, Issue 17, 15 September 2026.ABSTRACT Soft material modeling is challenging due, among others, to the substantial structural changes these materials undergo. In this context, meshless methods offer a promising alternative to overcome the limitations of established mesh‐based approximations such as finite elements. However, they introduce new challenges.
Rodrigo Castillo‐Acuna +2 more
wiley +1 more source
On Discontinuous Galerkin Methods for Singularly Perturbed and Incompressible Miscible Displacement Problems [PDF]
, 2012 This thesis is concerned with the numerical approximation of problems of fluid flow, in particular the stationary advection diffusion reaction equations and the time dependent, coupled equations of incompressible miscible displacement in a porous medium.
CHAPMAN, JOHN,ROBERT +1 more
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A Quasi-Convex RKPM for 3D Steady-State Thermomechanical Coupling Problems
MathematicsA meshless, quasi-convex reproducing kernel particle framework for three-dimensional steady-state thermomechanical coupling problems is presented in this paper.
Lin Zhang +3 more
doaj +1 more source
Hybrid Coupling With Operator Inference and the Overlapping Schwarz Alternating Method
International Journal for Numerical Methods in Engineering, Volume 127, Issue 17, 15 September 2026.ABSTRACT This paper presents a hybrid approach for coupling subdomain‐local, nonintrusive Operator Inference (OpInf) reduced order models (ROMs) with each other and with subdomain‐local, high‐fidelity full order models (FOMs) using the overlapping Schwarz alternating method (O‐SAM).
Irina Tezaur +5 more
wiley +1 more source