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08/30/2023
Abstract Fractional Cauchy Problem: Existence of Propagators and Inhomogeneous Solution Representation
We consider a Cauchy problem for the inhomogeneous differential equation...
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04/25/2023
Exponentially Convergent Numerical Method for Abstract Cauchy Problem with Fractional Derivative of Caputo Type
We present an exponentially convergent numerical method to approximate t...
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03/16/2023
A phase-field model for non-small cell lung cancer under the effects of immunotherapy
Formulating tumor models that predict growth under therapy is vital for ...
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10/27/2022
A matrix-free ILU realization based on surrogates
Matrix-free techniques play an increasingly important role in large-scal...
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03/22/2022
Risk-averse design of tall buildings for uncertain wind conditions
Reducing the intensity of wind excitation via aerodynamic shape modifica...
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01/14/2022
A 1D-0D-3D coupled model for simulating blood flow and transport processes in breast tissue
In this work, we present mixed dimensional models for simulating blood f...
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12/28/2021
Determining kernels in linear viscoelasticity
In this work, we investigate the inverse problem of determining the kern...
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10/29/2021
Elasto-acoustic modelling and simulation for the seismic response of structures: The case of the Tahtalı dam in the 2020 İzmir earthquake
As a mean to assess the risk dam structures are exposed to during earthq...
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10/14/2021
Alpine Permafrost Modeling: On the influence of topography driven lateral fluxes
Alpine permafrost environments are highly vulnerable and sensitive to ch...
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07/23/2021
Learning the structure of wind: A data-driven nonlocal turbulence model for the atmospheric boundary layer
We develop a novel data-driven approach to modeling the atmospheric boun...
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06/21/2021
Equivalence between a time-fractional and an integer-order gradient flow: The memory effect reflected in the energy
Time-fractional partial differential equations are nonlocal in time and ...
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04/03/2021
Semi matrix-free twogrid shifted Laplacian preconditioner for the Helmholtz equation with near optimal shifts
Due to its significance in terms of wave phenomena a considerable effort...
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02/09/2021
Solving time-fractional differential equation via rational approximation
Fractional differential equations (FDEs) describe subdiffusion behavior ...
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02/08/2021
A hybrid discontinuous Galerkin method for nonlinear elasto-acoustic coupling
Inspired by medical applications of high-intensity ultrasound, we study ...
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01/07/2021
Multidimensional coupling: A variationally consistent approach to fiber-reinforced materials
A novel mathematical model for fiber-reinforced materials is proposed. I...
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10/26/2020
Resiliency in Numerical Algorithm Design for Extreme Scale Simulations
This work is based on the seminar titled “Resiliency in Numerical Algori...
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06/18/2020
On a subdiffusive tumour growth model with fractional time derivative
In this work, we present a model for tumour growth in terms of reaction-...
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06/11/2020
Frontiers in Mortar Methods for Isogeometric Analysis
Complex geometries as common in industrial applications consist of multi...
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04/10/2020
The surrogate matrix methodology: Accelerating isogeometric analysis of waves
The surrogate matrix methodology delivers low-cost approximations of mat...
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01/20/2020
A 3D-1D coupled blood flow and oxygen transport model to generate microvascular networks
In this work, we introduce an algorithmic approach to generate microvasc...
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12/04/2019
A high-order discontinuous Galerkin method for nonlinear sound waves
We propose a high-order discontinuous Galerkin scheme for nonlinear acou...
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10/03/2019
Generalized bounds for active subspaces
The active subspace method, as a dimension reduction technique, can subs...
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09/08/2019
The surrogate matrix methodology: A reference implementation for low-cost assembly in isogeometric analysis
A reference implementation of a new method in isogeometric analysis (IGA...
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08/23/2019
Stencil scaling for vector-valued PDEs on hybrid grids with applications to generalized Newtonian fluids
Matrix-free finite element implementations for large applications provid...
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08/23/2019
Stencil scaling for vector-valued PDEs with applications to generalized Newtonian fluids
Matrix-free finite element implementations for large applications provid...
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07/04/2019
A statistical framework for generating microstructures of two-phase random materials: application to fatigue analysis
Random microstructures of heterogeneous materials play a crucial role in...
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01/10/2019
Bayesian calibration and sensitivity analysis for a karst aquifer model using active subspaces
In this article, we perform a parameter study for a recently developed m...
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09/20/2018
Analysis of boundary effects on PDE-based sampling of Whittle-Matérn random fields
We consider the generation of samples of a mean-zero Gaussian random fie...
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04/17/2018
Adaptive control in rollforward recovery for extreme scale multigrid
With the increasing number of compute components, failures in future exa...
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09/20/2017
A stencil scaling approach for accelerating matrix-free finite element implementations
We present a novel approach to fast on-the-fly low order finite element ...
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07/12/2016
Scheduling massively parallel multigrid for multilevel Monte Carlo methods
The computational complexity of naive, sampling-based uncertainty quanti...
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11/06/2015