Results 61 to 70 of about 18,760 (165)
Optimal-order isogeometric collocation at Galerkin superconvergent points
In this paper we investigate numerically the order of convergence of an isogeometric collocation method that builds upon the least-squares collocation method presented in [1] and the variational collocation method presented in [2].
Montardini, Monica +2 more
core +1 more source
Asperity‐Driven Cascading Rupture of a Mw 1.6 Induced Microearthquake
Abstract Studies of small earthquake (M < 2) rupture processes traditionally rely on simplified models that assume symmetric slip or point sources. Using an exceptionally dense seismic network and empirical Green's function (EGF) analysis, we investigate the complex rupture of a Mw 1.6 microearthquake induced by hydraulic fracturing.
Xinxing Chen +3 more
wiley +1 more source
Application of Hierarchical Matrix Techniques To The Homogenization of Composite Materials [PDF]
In this paper, we study numerical homogenization methods based on integral equations. Our work is motivated by materials such as concrete, modeled as composites structured as randomly distributed inclusions imbedded in a matrix.
Cazeaux, Paul, Zahm, Olivier
core +2 more sources
We present optimal preconditioners for a recently introduced hybridized discontinuous Galerkin finite element discretization of the Stokes equations.
Rhebergen, Sander, Wells, Garth N.
core +1 more source
Numerical Model Reduction of Multi‐Scale Electrochemical Ion Transport
ABSTRACT In this paper, we develop a Numerical Model Reduction (NMR) framework for multi‐scale modeling of electro‐chemically coupled ion transport. Upon introducing the governing equations and employing Variationally Consistent Homogenization, a two‐scale model, consisting of a macro‐scale and a sub‐scale part, is obtained.
Vinh Tu +3 more
wiley +1 more source
We present an adaptive variational procedure for unstructured meshes to capture fluid-fluid interfaces in two-phase flows. The two phases are modeled by the phase-field finite element formulation, which involves the conservative Allen-Cahn equation ...
Jaiman, Rajeev K., Joshi, Vaibhav
core +1 more source
An embedded--hybridized discontinuous Galerkin finite element method for the Stokes equations
We present and analyze a new embedded--hybridized discontinuous Galerkin finite element method for the Stokes problem. The method has the attractive properties of full hybridized methods, namely an $H({\rm div})$-conforming velocity field, pointwise ...
Rhebergen, Sander, Wells, Garth N.
core
Removing the cell resonance error in the multiscale finite element method via a Petrov-Galerkin formulation [PDF]
We continue the study of the nonconforming multiscale finite element method (Ms- FEM) introduced in 17, 14 for second order elliptic equations with highly oscillatory coefficients.
Hou, Thomas Y., Wu, Xiao-Hui, Zhang, Yu
core
Two fluid space-time discontinuous Galerkin finite element method. Part I: numerical algorithm [PDF]
A novel numerical method for two fluid flow computations is presented, which combines the space-time discontinuous Galerkin finite element discretization with the level set method and cut-cell based interface tracking.
Bokhove, O. +2 more
core +2 more sources
Current progress toward isogeometric modeling of the heart biophysics. [PDF]
Torre M +3 more
europepmc +1 more source

