The numerical simulation of multiple scenarios easily becomes computationally prohibitive
for cardiac electrophysiology (EP) problems if relying on usual high-fidelity, full order models …

We present an approach for designing material micro-structures by using isogeometric
analysis and parameterized level set method. Design variables, which are level set values …

The acoustic wave problem is here discretized by collocation isogeometric analysis (IGA) in
space and Newmark schemes of first and second order in time. A numerical study in the …

We study weak solutions and its approximation of hyperbolic linear symmetric Friedrichs
systems describing acoustic, elastic, or electro-magnetic waves. For the corresponding first …

After space discretization employing traditional dynamic isogeometric analysis of structures
(composite type) with/without dissimilar materials, the issues that persist include either using …

We consider reduced order modelling of unsteady convection-dominated convection-
diffusion-reaction problems with proper orthogonal decomposition (POD) in combination …

In a recent work (Koc et al., SIAM J. Numer. Anal. 59 (4), 2163–2196,), the authors showed
that including difference quotients (DQs) is necessary in order to prove optimal pointwise in …

In this study, the application of isogeometric analysis (IGA) is extended to the linear
elastodynamics problems. In order to improve the efficiency of time-dependent problems …

In this paper, we discuss the time-dependent generalized membrane shell model, which has
not been addressed numerically in literature. We show that the solution of this model exists …

In this paper, we consider a two-field nonlinear poroelasticity model, in which the unknown
variables are the solid displacement and the pore pressure, and the permeability of the …