Untitled Page 1 Page 2 15 Texts in Applied Mathematics Editors JE Marsden L. Sirovich SS
Antman Advisors G. Iooss P. Holmes D. Barkley M. Dellnitz P. Newton Page 3 Texts in Applied …

In this paper, we first split the biharmonic equation Δ 2 u= f with nonhomogeneous essential
boundary conditions into a system of two second order equations by introducing an auxiliary …

In this dissertation we discuss bilinear immersed finite elements (IFE) for solving interface
problems. The related research works can be categorized into three aspects:(1) the …

In this paper, we consider the symmetric interior penalty discontinuous Galerkin (SIPG)
method with piecewise polynomials of degree r≥ 1 for a class of quasi-linear elliptic …

We investigate smooth and sparse optimal control problems for convective FitzHugh–
Nagumo equation with traveling wave solutions in moving excitable media. The cost function …

In this article, we study the residual-based a posteriori error estimates of the two-grid finite
element methods for the second order nonlinear elliptic boundary value problems …

In this paper, we have analyzed a one parameter family of hp-discontinuous Galerkin
methods for strongly nonlinear elliptic boundary value problems-∇ ⋅\rm a (u, ∇ u)+ f (u, ∇ …

In this paper we propose and analyse a new mixed-type DG method for the three-field quasi-
Newtonian Stokes flow. The scheme is based on the introduction of the stress and strain …

In this article, we propose a new discontinuous finite volume element (DFVE) method for the
second‐order elliptic problems. We treat the DFVE method as a perturbation of the interior …

Based on the analysis of Cockburn et al.[Math. Comp. 78 (2009), pp. 1-24] for a selfadjoint
linear elliptic equation, we first discuss superconvergence results for nonselfadjoint linear …