293 citations · 793 across the 29 of their papers we have counts for
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A multiscale HDG method for second order elliptic equations. Part I. Polynomial and homogenization-based multiscale spaces
Yalchin Efendiev, Raytcho Lazarov, Ke Shi
We introduce a finite element method for numerical upscaling of second order elliptic equations with highly heterogeneous coefficients. The method is based on a mixed formulation o…
Error Analysis of Finite Element Methods for Space-Fractional Parabolic Equations
Bangti Jin, Raytcho Lazarov, Joseph Pasciak +1
We consider an initial/boundary value problem for one-dimensional fractional-order parabolic equations with a space fractional derivative of Riemann-Liouville type and order $α\in…
A Finite Element Method for the Fractional Sturm-Liouville Problem
Bangti Jin, Raytcho Lazarov, Joseph Pasciak +1
In this work, we propose an efficient finite element method for solving fractional Sturm-Liouville problems involving either the Caputo or Riemann-Liouville derivative of order $α\…
Variational formulation of problems involving fractional order differential operators
Bangti Jin, Raytcho Lazarov, Joseph Pasciak
In this work, we consider boundary value problems involving Caputo and Riemann-Liouville fractional derivatives of order on the unit interval . These fractional…
Error Analysis of Semidiscrete Finite Element Methods for Inhomogeneous Time-Fractional Diffusion
Bangti Jin, Raytcho Lazarov, Joseph Pasciak +1
We consider the initial boundary value problem for the inhomogeneous time-fractional diffusion equation with a homogeneous Dirichlet boundary condition and a nonsmooth right hand s…
Galerkin FEM for fractional order parabolic equations with initial data in
Bangti Jin, Raytcho Lazarov, Joseph Pasciak +1
We investigate semi-discrete numerical schemes based on the standard Galerkin and lumped mass Galerkin finite element methods for an initial-boundary value problem for homogeneous…
Generalized Multiscale Finite Element Method. Symmetric Interior Penalty Coupling
Y. Efendiev, J. Galvis, R. Lazarov +2
Motivated by applications to numerical simulation of flows in highly heterogeneous porous media, we develop multiscale finite element methods for second order elliptic equations. W…