84 citations · 207 across the 15 of their papers we have counts for
18 papers
Coupling of conforming and mixed finite element methods for a model of wave propagation in thermo-poroelasticity in the frequency domain
Hongpeng Li, Cristian Carcamo, Hongxing Rui +1
A dynamic linear thermo-poroelasticity model, containing inertial and relaxation terms with second-order time derivatives, is investigated in this paper. The mathematical and numer…
Improving hp-Variational Physics-Informed Neural Networks for Steady-State Convection-Dominated Problems
Thivin Anandh, Divij Ghose, Himanshu Jain +3
This paper proposes and studies two extensions of applying hp-variational physics-informed neural networks, more precisely the FastVPINNs framework, to convection-dominated convect…
Second order error bounds for POD-ROM methods based on first order divided differences
Bosco García-Archilla, Volker John, Julia Novo
This note proves, for simplicity for the heat equation, that using BDF2 as time stepping scheme in POD-ROM methods with snapshots based on difference quotients gives both the optim…
POD-ROMs for incompressible flows including snapshots of the temporal derivative of the full order solution: Error bounds for the pressure
Bosco García-Archilla, Volker John, Sarah Katz +1
Reduced order methods (ROMs) for the incompressible Navier--Stokes equations, based on proper orthogonal decomposition (POD), are studied that include snapshots which approach the…
Inf-sup stabilized Scott-Vogelius pairs on general simplicial grids for Navier-Stokes equations
Naveed Ahmed, Volker John, Xu Li +1
This paper considers the discretization of the time-dependent Navier-Stokes equations with the family of inf-sup stabilized Scott-Vogelius pairs recently introduced in [John/Li/Mer…
Impact of Turbulence Modeling on the Simulation of Blood Flow in Aortic Coarctation
Sarah Katz, Alfonso Caiazzo, Baptiste Moreau +4
Numerical simulations of pulsatile blood flow in an aortic coarctation require the use of turbulence modeling. This paper considers three models from the class of large eddy simula…
Instantaneous gelation and nonexistence for the Oort-Hulst-Safronov coagulation model
Pooja Rai, Ankik Kumar Giri, Volker John
The possible occurrence of instantaneous gelation to Oort-Hulst-Safronov (OHS) coagulation equation is investigated for a certain class of unbounded coagulation kernels. The existe…
Inf-sup stabilized Scott--Vogelius pairs on general simplicial grids by Raviart--Thomas enrichment
Volker John, Xu Li, Christian Merdon +1
This paper considers the discretization of the Stokes equations with Scott--Vogelius pairs of finite element spaces on arbitrary shape-regular simplicial grids. A novel way of stab…
POD-ROMs for incompressible flows including snapshots of the temporal derivative of the full order solution
Bosco García-Archilla, Volker John, Julia Novo
In this paper we study the influence of including snapshots that approach the velocity time derivative in the numerical approximation of the incompressible Navier-Stokes equations…
Finite element methods respecting the discrete maximum principle for convection-diffusion equations
Gabriel R. Barrenechea, Volker John, Petr Knobloch
Convection-diffusion-reaction equations model the conservation of scalar quantities. From the analytic point of view, solution of these equations satisfy under certain conditions m…
On algebraically stabilized schemes for convection-diffusion-reaction problems
Volker John, Petr Knobloch
An abstract framework is developed that enables the analysis of algebraically stabilized discretizations in a unified way. This framework is applied to a discretization of this kin…
Adaptive Grids in the Context of Algebraic Stabilizations for Convection-Diffusion-Reaction Equations
Abhinav Jha, Volker John, Petr Knobloch
Three algebraically stabilized finite element schemes for discretizing convection-diffusion-reaction equations are studied on adaptively refined grids. These schemes are the algebr…
Re-visiting the single-phase flow model for liquid steel ladle stirred by gas
Najib Alia, Volker John, Seppo Ollila
Ladle stirring is an important step of the steelmaking process to homogenize the temperature and the chemical composition of the liquid steel and to remove inclusions before castin…
On reference solutions and the sensitivity of the 2D Kelvin-Helmholtz instability problem
Philipp W. Schroeder, Volker John, Philip L. Lederer +3
Two-dimensional Kelvin-Helmholtz instability problems are popular examples for assessing discretizations for incompressible flows at high Reynolds number. Unfortunately, the result…
Error Analysis of Non Inf-sup Stable Discretizations of the time-dependent Navier--Stokes Equations with Local Projection Stabilization
Javier de Frutos, Bosco García-Archilla, Volker John +1
This paper studies non inf-sup stable finite element approximations to the evolutionary Navier--Stokes equations. Several local projection stabilization (LPS) methods corresponding…
ParMooN - a modernized program package based on mapped finite elements
Ulrich Wilbrandt, Clemens Bartsch, Naveed Ahmed +11
{\sc ParMooN} is a program package for the numerical solution of elliptic and parabolic partial differential equations. It inherits the distinct features of its predecessor {\sc Mo…
Analysis of the grad-div stabilization for the time-dependent Navier-Stokes equations with inf-sup stable finite elements
Javier de Frutos, Bosco García-Archilla, Volker John +1
This paper studies inf-sup stable finite element discretizations of the evolutionary Navier--Stokes equations with a grad-div type stabilization. The analysis covers both the case…
An object oriented parallel finite element scheme for computations of PDEs: Design and implementation
Sashikumaar Ganesan, Volker John, Gunar Matthies +3
Parallel finite element algorithms based on object-oriented concepts are presented. Moreover, the design and implementation of a data structure proposed are utilized in realizing a…