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08/01/2023
Structure Preserving Polytopal Discontinuous Galerkin Methods for the Numerical Modeling of Neurodegenerative Diseases
Many neurodegenerative diseases are connected to the spreading of misfol...
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05/05/2023
Uncertainty Quantification for Fisher-Kolmogorov Equation on Graphs with Application to Patient-Specific Alzheimer Disease
The Fisher-Kolmogorov equation is a diffusion-reaction PDE that is used ...
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03/30/2023
A DG-VEM method for the dissipative wave equation
A novel space-time discretization for the (linear) scalar-valued dissipa...
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02/14/2023
Discontinuous Galerkin Methods for Fisher-Kolmogorov Equation with Application to α-Synuclein Spreading in Parkinson's Disease
The spreading of prion proteins is at the basis of brain neurodegenerati...
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02/05/2023
Discrete tensor product BGG sequences: splines and finite elements
In this paper, we provide a systematic discretization of the Bernstein-...
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11/28/2022
A reduced basis super-localized orthogonal decomposition for reaction-convection-diffusion problems
This paper presents a method for the numerical treatment of reaction-con...
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08/30/2022
A greedy MOR method for the tracking of eigensolutions to parametric elliptic PDEs
In this paper, we introduce an algorithm based on a sparse grid adaptive...
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07/13/2022
On the matching of eigensolutions to parametric partial differential equations
In this paper a novel numerical approximation of parametric eigenvalue p...
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07/01/2022
A Tensor-Product Finite Element Cochain Complex with Arbitrary Continuity
We develop tensor product finite element cochain complexes of arbitrary ...
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06/04/2022
Super-localized orthogonal decomposition for convection-dominated diffusion problems
This paper presents a multi-scale method for convection-dominated diffus...
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12/08/2021
Rational-based model order reduction of Helmholtz frequency response problems with adaptive finite element snapshots
We introduce several spatially adaptive model order reduction approaches...
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10/01/2020
H1-conforming finite element cochain complexes and commuting quasi-interpolation operators on cartesian meshes
A finite element cochain complex on Cartesian meshes of any dimension ba...
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05/14/2020