Space–time isogeometric analysis of parabolic evolution problems

U Langer, SE Moore, M Neumüller - Computer methods in applied …, 2016 - Elsevier
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 …

Time-multipatch discontinuous Galerkin space-time isogeometric analysis of parabolic evolution problems

C Hofer, U Langer, M Neumüller, I Toulopoulos - 2018 - ir.ucc.edu.gh
In this paper, we present a new time-multipatch discontinuous Galerkin Isogeometric
Analysis (IgA) technology for solving parabolic initial-boundary problems in space and time …

A posteriori error estimates for space-time IgA approximations to parabolic initial boundary value problems

U Langer, S Matculevich, S Repin - arxiv preprint arxiv:1612.08998, 2016 - arxiv.org
This work is concerned with a posteriori error estimates of the functional type for
approximations constructed by space-time IgA scheme presented in paper by Langer …

[HTML][HTML] Fully reliable error control for first-order evolutionary problems

B Holm, S Matculevich - Computers & Mathematics with Applications, 2018 - Elsevier
This work is focused on the application of functional-type a posteriori error estimates and
corresponding indicators to a class of time-dependent problems. We consider the …

A space–time finite element method for the linear bidomain equations

O Steinbach, H Yang - … Finite Element Methods with Applications: Selected …, 2019 - Springer
In this work, we study a Galerkin–Petrov space–time finite element method for a linear
system of parabolic–elliptic equations with in general anisotropic conductivity matrices …

7. Space-time finite element methods for parabolic evolution equations: Discretization, a posteriori error estimation, adaptivity and solution

O Steinbach, H Yang - Applications to partial differential equations, 2019 - degruyter.com
Inthiswork, wepresentanoverviewonthedevelopmentofs…-timefinite element methods for the
numerical solution of some parabolic evolution equations with the heat equation as a model …

Reduced Basis Methods for Option Pricing and Calibration

O Burkovska - 2016 - mediatum.ub.tum.de
In this thesis, a reduced basis framework for the pricing of European and American options
is developed. The underlying problems are described by parametrized time-dependent …

[PDF][PDF] Technische Universitat Graz

O Steinbach - applied.math.tugraz.at
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