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Papers matching “elliptic equations” 31

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Solution of Canonical Differential Equations for Integrals on Arbitrary Geometries
2026 arXiv (Cornell University) preprint Physics and Astronomy Particle physics theoretical and experimental studies Open access

Michał Czakon, Lorenzo Tancredi

0

citations
Fundamental Solutions and Green's Functions for Certain Elliptic Differential Operators From a Pseudodifferential Algebra
2025 Mathematical Methods in the Applied Sciences article Mathematics Differential Equations and Boundary Problems Open access

Heinz‐Jürgen Flad, Gohar Flad‐Harutyunyan

1

citations
A space-time adaptive low-rank method for high-dimensional parabolic partial differential equations
2024 Journal of Complexity article Mathematics Mathematical Approximation and Integration Open access

Markus Bachmayr, Manfred Faldum

2

citations
Fundamental Solutions and Green's Functions for Certain Elliptic Differential Operators From a Pseudodifferential Algebra
2025 Mathematical Methods in the Applied Sciences article Mathematics Differential Equations and Boundary Problems Open access

0

citations
Global solution for a system of semilinear diffusion-reaction equations with distinct diffusion coefficients
2024 Electronic journal of qualitative theory of differential equations article Mathematics Nonlinear Partial Differential Equations Open access

Michael C. Böhm, Nibedita Ghosh, Hari Shankar Mahato

0

citations
Efficient localised model reduction for multiscale PDEs via Grassmannian interpolation
2026 arXiv (Cornell University) preprint Physics and Astronomy Model Reduction and Neural Networks Open access

Christian Alber, Markus Bachmayr, Robert Scheichl, Huqing Yang

0

citations
Variationally correct neural residual regression for parametric PDEs: on the viability of controlled accuracy
2025 IMA Journal of Numerical Analysis article Physics and Astronomy Model Reduction and Neural Networks Open access

Markus Bachmayr, Wolfgang Dahmen, Mathias Oster

10

citations
Variationally Correct Neural Residual Regression for Parametric PDEs: On the Viability of Controlled Accuracy
2024 arXiv (Cornell University) preprint Physics and Astronomy Model Reduction and Neural Networks Open access

Markus Bachmayr, Wolfgang Dahmen, Mathias Oster

3

citations
Complexity Analysis of stochastic gradient methods for PDE-constrained optimal Control Problems with uncertain parameters
2021 ESAIM Mathematical Modelling and Numerical Analysis article Engineering Advanced Numerical Methods in Computational Mathematics Open access

Matthieu Martin, Sebastian Krumscheid, Fabio Nobile

27

citations
An adaptive stochastic Galerkin method based on multilevel expansions of random fields: Convergence and optimality
2022 ESAIM Mathematical Modelling and Numerical Analysis article Decision Sciences Probabilistic and Robust Engineering Design Open access

Markus Bachmayr, Igor Voulis

6

citations
Detecting subsurface interfaces with a physics-based level-set segmentation and additional geological constraints
2020 conference-abstract Mathematics Numerical methods in inverse problems Open access

Florian Wellmann, Benjamin Berkels

0

citations
Deep NURBS—admissible physics-informed neural networks
2024 Engineering With Computers article Physics and Astronomy Model Reduction and Neural Networks Open access

Luis Espath, Raul F. Tempone

5

citations
Insight on the Flow Physics of Shock-driven Elliptical Gas Inhomogeneity with Different Atwood Numbers
2024 International Journal of Mathematical Engineering and Management Sciences article Engineering Computational Fluid Dynamics and Aerodynamics Open access

Satyvir Singh, Bidesh Sengupta, Mukesh Kumar Awasthi, Vinesh Kumar

10

citations
Observational Evidence for Cosmological Coupling of Black Holes and its Implications for an Astrophysical Source of Dark Energy
2023 The Astrophysical Journal Letters article Physics and Astronomy Cosmology and Gravitation Theories Open access

Duncan Farrah, Kevin S. Croker, M. Zevin, Gregory Tarlé, Valerio Faraoni, Sara M. Petty, +13 more

119

citations
Analysis of optimal preconditioners for CutFEM
2022 Numerical Linear Algebra with Applications article Engineering Advanced Numerical Methods in Computational Mathematics Open access

Sven Groß, Arnold Reusken

13

citations
Heat flow methods and saddle configurations for spherical magnets
2025 RWTH Publications (RWTH Aachen) dissertation Mathematics Nonlinear Partial Differential Equations Open access

0

citations
Unfolding of shocked hydrodynamic instability at SF 6 elliptical interface: Physical insights from numerical simulations
2024 Computers & Fluids article Engineering Computational Fluid Dynamics and Aerodynamics Open access

Satyvir Singh, Ahmed Hussein Msmali, Mark Nelson

16

citations
Assessment of aortic valve stenosis severity: multimodality imaging may be the key
2020 European Heart Journal - Cardiovascular Imaging editorial Medicine Cardiac Valve Diseases and Treatments

Federico Fortuni, Victoria Delgado

7

citations
How to assess severe tricuspid regurgitation by echocardiography?
2022 European Heart Journal - Cardiovascular Imaging article Medicine Cardiac Valve Diseases and Treatments Open access

Leyla Elif Sade, Denisa Muraru, Nina Ajmone Marsan, Eustachio Agricola, Erwan Donal

20

citations
Finite element simulation of modified Poisson-Nernst-Planck/Navier-Stokes model for compressible electrolytes under mechanical equilibrium
2026 Applied Numerical Mathematics article Engineering Advanced Numerical Methods in Computational Mathematics Open access

Ankur, Ram Jiwari, Satyvir Singh

1

citations
Reduced basis methods for real-time thermal ablation treatment planning in cancer therapy
2024 RWTH Publications (RWTH Aachen) dissertation Physics and Astronomy Model Reduction and Neural Networks Open access

Zoi Tokoutsi

0

citations
Time scales for nonlinear processes in preheating after multifield inflation with nonminimal couplings
2020 Physical review. D/Physical review. D. article Physics and Astronomy Cosmology and Gravitation Theories Open access

Jorinde van de Vis, Rachel Nguyen, Evangelos I. Sfakianakis, John T. Giblin, David I. Kaiser

35

citations
Dense core response to forced acoustic fields in oxygen-hydrogen rocket flames
2020 Propulsion and Power Research article Engineering Combustion and flame dynamics Open access

Youhi Morii, Scott Beinke, Justin Steven Hardi, Taro Shimizu, Hideto Kawashima, Michael Oschwald

6

citations
Efficient solution techniques for two-phase flow in heterogeneous porous media using exact Jacobians
2020 Computational Geosciences article Engineering Advanced Numerical Methods in Computational Mathematics Open access

Henrik Büsing

6

citations
A Convergent Adaptive Finite Element Stochastic Galerkin Method Based on Multilevel Expansions of Random Fields
2025 SIAM Journal on Numerical Analysis article Decision Sciences Probabilistic and Robust Engineering Design Open access

Markus Bachmayr, Martin Eigel, Henrik Eisenmann, Igor Voulis

1

citations