We present and analyze a new stable space–time Isogeometric Analysis (IgA) method for
the numerical solution of parabolic evolution equations in fixed and moving spatial …

The paper introduces a new finite element numerical method for the solution of partial
differential equations on evolving domains. The approach uses a completely Eulerian …

In this contribution we present a new computational method for coupled bulk-surface
problems on time-dependent domains. The method is based on a space–time formulation …

We develop a theoretical framework for the analysis of stabilized cut finite element methods
for the Laplace-Beltrami operator on a manifold embedded in ℝ d of arbitrary codimension …

We present an abstract framework for treating the theory of well-posedness of solutions to
abstract parabolic partial di¤ erential equations on evolving Hilbert spaces. This theory is …

This paper shows an inf-sup stability property for several well-known 2D and 3D Stokes
elements on triangulations which are not fitted to a given smooth or polygonal domain. The …

This book provides a snapshot of the state of the art of the rapidly evolving field of integration
of geometric data in finite element computations. The contributions to this volume, based on …

In this paper we present a new Eulerian finite element method for the discretization of scalar
partial differential equations on evolving surfaces. In this method we use the restriction of …

In this paper we consider a class of unfitted finite element methods for discretization of
partial differential equations on surfaces. In this class of methods known as the Trace Finite …

We present a new high-order finite element method for the discretization of partial differential
equations on stationary smooth surfaces which are implicitly described as the zero level of a …