Written by two well-respected experts in the field, The Finite Element Method for Boundary
Value Problems: Mathematics and Computations bridges the gap between applied …

We introduce an automatic variationally stable analysis (AVS) for finite element (FE)
computations of scalar-valued convection-diffusion equations with non-constant and highly …

Inclusion of dissipation and memory mechanisms, non-classical elasticity and thermal
effects in the currently used plate/shell mathematical models require that we establish if …

We present three new sets of C1 hierarchical high‐order tensor‐product bases for
conforming finite elements. The first basis is a high‐order extension of the Bogner–Fox …

There is a growing interest in numerically handling of the interface dynamics in multiphase
flows with large density and viscosity ratio in several scientific and engineering applications …

This paper presents a thermodynamically consistent and kinematic assumption free
formulation for dynamics of thermoviscoelastic plates/shells based on the conservation and …

The paper presents k-version of the finite element method for boundary value problems
(BVPs) and initial value problems (IVPs) in which global differentiability of approximations is …

A new mathematical model and an experimental study are presented for polymeric liquids.
The main advantage of the proposed model over the existing models is its hyperbolic nature …

Simulation of stress wave propagation through solid medium is commonly carried using
Galerkin weak-form cast over decoupled space and time domains. In this paper, accuracy of …

The paper presents development of higher order global differentiability local approximations
for two dimensional distorted triangular elements. We consider seven node (3 vertex nodes …