Results 61 to 70 of about 383,945 (221)

A Phase‐Field Model for Quasi‐Dynamic Rupture Nucleation and Propagation of In‐Plane Faults

International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.
ABSTRACT Computational modeling of faulting processes is an essential tool for understanding earthquake mechanics but remains challenging due to the structural and material complexities of fault zones. The phase‐field method has recently enabled unified modeling of fault propagation and off‐fault damage within a fracture‐mechanics‐based framework ...
Fan Fei, Md Shumon Mia, Ahmed E. Elbanna, Jinhyun Choo   +3 more
wiley   +1 more source

A local projection stabilization/continuous Galerkin–Petrov method for incompressible flow problems

, 2018
A local projection stabilization (LPS) method in space is considered to approximate the evolutionary Oseen equations. Optimal error bounds with constants independent of the viscosity parameter are obtained in the continuous-in-time case for both the ...
Novo, Julia, Naveed Ahmed, Gunar Matthies, Ahmed, Naveed, Volker John, Matthies, Gunar, Julia Novo, John, Volker   +7 more
core   +1 more source

Interior penalty discontinuous galerkin methods for electromagnetic and acoustic wave equations [PDF]

, 2006
Introduction: In this thesis we present and analyze the numerical approximation of the second order electromagnetic and acoustic wave equation by the interior penalty (IP) discontinuous Galerkin (DG) finite element method (FEM).
Schneebeli, Anna
core   +1 more source

-Error Estimates of the Extrapolated Crank-Nicolson Discontinuous Galerkin Approximations for Nonlinear Sobolev Equations

Journal of Inequalities and Applications, 2010
We analyze discontinuous Galerkin methods with penalty terms, namely, symmetric interior penalty Galerkin methods, to solve nonlinear Sobolev equations.
Lee HyunYoung, Shin JunYong, Ohm MiRay
doaj  

Suppressing thermalization and constructing weak solutions in truncated inviscid equations of hydrodynamics: Lessons from the Burgers equation

Physical Review Research, 2020
Finite-dimensional, inviscid equations of hydrodynamics, obtained through a Fourier-Galerkin projection, thermalize with an energy equipartition. Hence, numerical solutions of such inviscid equations, which typically must be Galerkin-truncated, show a ...
Sugan Durai Murugan, Uriel Frisch, Sergey Nazarenko, Nicolas Besse, Samriddhi Sankar Ray   +4 more
doaj   +1 more source

Tensor‐Based Reduction of Linear Parameter‐Varying State‐Space Models

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT The linear parameter‐varying (LPV) framework is a powerful tool for controlling nonlinear (NL) and complex systems, but the conversion of NL models into LPV forms often results in high‐dimensional and overly conservative LPV models. To be able to apply control strategies, there is often a need for model reduction in order to reduce ...
Bogoljub Terzin, E. Javier Olucha, Amritam Das, Siep Weiland, Roland Tóth   +4 more
wiley   +1 more source

Development of a Framework for Modelling Adhesive and Bulk Fracture in Ice: Application to Electroexpulsive Ice Protection Systems

Fatigue &Fracture of Engineering Materials &Structures, EarlyView.
ABSTRACT This study proposes a modelling framework for ice adhesive and bulk fracture. In this framework, adhesive and bulk fracture mechanisms are treated as distinct phenomena. Adhesive fracture is modelled using the well‐established cohesive zone model, which is widely used in the analysis of composite material delamination.
Pau Riera i Portillo, Valérie Pommier‐Budinger, Ian Roberts, Colin Hatch   +3 more
wiley   +1 more source

On the solution of weak nonlinear variational problem connected with navier - stokes stationary homogeneous problem

Научный вестник МГТУ ГА, 2016
Projection iterative process that combines the Bubnov - Galerkin method and iterative process for finding ap-proximations to the solution of weakly nonlinear variational problem associated with a stationary homogeneous Navier - Stokes problem is proposed.
A. A. Fonarev
doaj  

Computing Bounds on the Eigenvalues of the Preconditioned X‐FFT System in 3D Linear Elastic Homogenization

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT The previously introduced X‐FFT solver permits solving three‐dimensional linear elastic homogenization problems with high accuracy and efficiency. Due to the extended finite element discretization (X‐FEM), matrix‐inclusion problems may be approximated with the error convergence of interface‐conforming finite elements.
Flavia Gehrig, Matti Schneider
wiley   +1 more source

Pressure projection stabilizations for Galerkin approximations of Stokes' and Darcy's problem [PDF]

Numerical Methods for Partial Differential Equations, 2007
AbstractIn this study, we consider some recent stabilization techniques for the Stokes' problem and show that they are instances of the framework proposed by Brezzi and Fortin in “A minimal stabilisation procedure for mixed finite element methods” (Numer Math 89, (2001) 457).
openaire   +2 more sources