| Publication | Date of Publication | Type |
|---|
| A shifted boundary method based on extension operators | 2024-03-26 | Paper |
| Optimal surrogate boundary selection and scalability studies for the shifted boundary method on octree meshes | 2024-01-29 | Paper |
| A posteriori error analysis and adaptivity for a VEM discretization of the Navier-Stokes equations | 2024-01-08 | Paper |
| New Feedback Control and Adaptive Evolve-Filter-Relax Regularization for the Navier-Stokes Equations in the Convection-Dominated Regime | 2023-07-02 | Paper |
| Adaptive VEM: Stabilization-Free A Posteriori Error Analysis and Contraction Property | 2023-03-31 | Paper |
| Weighted reduced order methods for uncertainty quantification in computational fluid dynamics | 2023-03-25 | Paper |
| Adaptive VEM for variable data: convergence and optimality | 2023-02-27 | Paper |
| Enforcing Dirichlet boundary conditions in physics-informed neural networks and variational physics-informed neural networks | 2022-10-26 | Paper |
| Solving PDEs by variational physics-informed neural networks: an a posteriori error analysis | 2022-10-18 | Paper |
| Variational physics informed neural networks: the role of quadratures and test functions | 2022-08-05 | Paper |
| The high-order shifted boundary method and its analysis | 2022-05-12 | Paper |
| Equilibrium analysis of an immersed rigid leaflet by the virtual element method | 2021-11-10 | Paper |
| Stability analysis of open-channel flows with secondary currents | 2021-10-13 | Paper |
| Variational Physics Informed Neural Networks: the role of quadratures and test functions | 2021-09-05 | Paper |
| Analysis of the shifted boundary method for the Poisson problem in domains with corners | 2021-07-07 | Paper |
| Efficient computation of bifurcation diagrams with a deflated approach to reduced basis spectral element method | 2021-05-18 | Paper |
| The second-generation shifted boundary method and its numerical analysis | 2021-04-26 | Paper |
| Uncertainty quantification of discontinuous outputs via a non-intrusive bifidelity strategy | 2021-01-27 | Paper |
| Uncertainty quantification in discrete fracture network models: stochastic fracture transmissivity | 2020-10-08 | Paper |
| Analysis of the shifted boundary method for the Stokes problem | 2020-04-24 | Paper |
| An adaptive \(hp\)-DG-FE method for elliptic problems: convergence and optimality in the 1D case | 2020-01-27 | Paper |
| A multi-timestep Robin-Robin domain decomposition method for time dependent advection-diffusion problems | 2020-01-09 | Paper |
| Adaptive \(hp\)-FEM for eigenvalue computations | 2019-11-29 | Paper |
| A saturation property for the spectral-Galerkin approximation of a Dirichlet problem in a square | 2019-08-20 | Paper |
| Robust Preconditioners for DG-Discretizations with Arbitrary Polynomial Degrees | 2018-02-05 | Paper |
| ASM-BDDC Preconditioners with Variable Polynomial Degree for CG- and DG-SEM | 2018-02-05 | Paper |
| On \(p\)-robust saturation for \(hp\)-AFEM | 2017-09-12 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5268584 | 2017-06-20 | Paper |
| Convergence and optimality of \({\mathbf {hp}}\)-\textbf{AFEM} | 2017-04-13 | Paper |
| Adaptive Spectral Galerkin Methods with Dynamic Marking | 2016-11-07 | Paper |
| High-Order Adaptive Galerkin Methods | 2016-11-02 | Paper |
| Contraction and optimality properties of adaptive Legendre-Galerkin methods: the one-dimensional case | 2016-09-27 | Paper |
| Multilevel preconditioning of discontinuous Galerkin spectral element methods. Part I: geometrically conforming meshes | 2015-11-06 | Paper |
| Nested dyadic grids associated with Legendre-Gauss-Lobatto grids | 2015-09-14 | Paper |
| Contraction and optimality properties of an adaptive Legendre-Galerkin method: the multi-dimensional case | 2015-07-23 | Paper |
| Mathematical Analysis I | 2014-12-02 | Paper |
| Mathematical Analysis II | 2014-12-02 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3191509 | 2014-10-02 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3191510 | 2014-10-02 | Paper |
| BDDC preconditioners for continuous and discontinuous Galerkin methods using spectral/hp elements with variable local polynomial degree | 2014-08-06 | Paper |
| A spectral approach for the stability analysis of turbulent open-channel flows over granular beds | 2014-07-03 | Paper |
| Adaptive Fourier-Galerkin methods | 2014-06-04 | Paper |
| On the decay of the inverse of matrices that are sum of Kronecker products | 2014-06-04 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2847650 | 2013-09-11 | Paper |
| On the Numerical Analysis of Adaptive Spectral/hp Methods for Elliptic Problems | 2013-07-30 | Paper |
| An Eulerian Approach to the Analysis of Krause's Consensus Models | 2012-05-30 | Paper |
| A sweating model for the internal ventilation of a motorcycle helmet | 2011-06-17 | Paper |
| Finite-Element Preconditioning of G-NI Spectral Methods | 2011-01-10 | Paper |
| Mathematical analysis II. Transl. from the Italian by Simon Chiossi | 2010-08-17 | Paper |
| A Posteriori Error Analysis of the Reduced Basis Method for Nonaffine Parametrized Nonlinear PDEs | 2010-07-13 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5190842 | 2009-07-27 | Paper |
| Mathematical analysis I. Transl. from the Italian by Simon Chiossi | 2008-07-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3506686 | 2008-06-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3506687 | 2008-06-16 | Paper |
| Springback compensation in deep drawing applications | 2008-05-14 | Paper |
| A fictitious domain approach to the numerical solution of PDEs in stochastic domains | 2007-10-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3593979 | 2007-08-07 | Paper |
| Spectral Methods | 2007-07-13 | Paper |
| Enhanced coercivity for pure advection and advection-diffusion problems | 2006-10-31 | Paper |
| Spectral Methods | 2006-05-24 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5703841 | 2005-11-11 | Paper |
| Adaptive Optimization of Convex Functionals in Banach Spaces | 2005-10-28 | Paper |
| Absolute and relative cut-off in adaptive approximation by wavelets | 2005-10-19 | Paper |
| Multilevel a posteriori error analysis for reaction-convection-diffusion problems | 2004-08-19 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4435553 | 2003-11-17 | Paper |
| Multilevel stabilization devices in CFD | 2003-03-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2763867 | 2002-09-26 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2704807 | 2001-09-02 | Paper |
| Multilevel stabilization of convection-diffusion problems by variable-order inner products | 2001-07-25 | Paper |
| Stabilized wavelet approximations of the Stokes problem | 2001-07-05 | Paper |
| The wavelet element method. II: Realization and additional features in 2D and 3D | 2001-01-02 | Paper |
| Negative norm stabilization of convection-diffusion problems | 2000-12-04 | Paper |
| Stable Discretizations of Convection-Diffusion Problems via Computable Negative-Order Inner Products | 2000-10-19 | Paper |
| The wavelet element method. I: Construction and analysis | 2000-08-16 | Paper |
| Stabilized spectral methods for the Navier-Stokes equations: residual-free bubbles and preconditioning | 2000-07-19 | Paper |
| On the adaptive computation of integrals of wavelets | 2000-06-05 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4700641 | 1999-11-07 | Paper |
| Multilevel decompositions of functional spaces | 1998-09-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4367755 | 1998-09-21 | Paper |
| Bubble-stabilized spectral methods for the incompressible Navier-Stokes equations | 1998-09-07 | Paper |
| A Wavelet-Based Adaptive Finite Element Method for Advection-Diffusion Equations | 1997-10-20 | Paper |
| Bubble stabilization of spectral Legendre methods for the advection-diffusion equation | 1996-07-11 | Paper |
| Stabilization of spectral methods by finite element bubble functions | 1995-06-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4284719 | 1995-05-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4326707 | 1995-03-22 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4288414 | 1994-04-19 | Paper |
| ON THE ELLIPTIC-HYPERBOLIC COUPLING I: THE ADVECTION-DIFFUSION EQUATION VIA THE χ-FORMULATION | 1993-09-05 | Paper |
| A VISCOUS-INVISCID COUPLING UNDER MIXED BOUNDARY CONDITIONS | 1993-06-29 | Paper |
| A self-adaptive domain decomposition for the viscous/inviscid coupling. I: Burgers equation | 1993-06-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4039908 | 1993-06-05 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4015665 | 1993-01-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3999652 | 1992-09-17 | Paper |
| Spectral Approximations of the Stokes Equations with Boundary Conditions on the Pressure | 1991-01-01 | Paper |
| Boundary and interface conditions within a finite element preconditioner for spectral methods | 1990-01-01 | Paper |
| Single-Grid Spectral Collocation for the Navier-Stokes Equations | 1990-01-01 | Paper |
| A self-adaptive formulation for the Euler/Navier-Stokes coupling | 1989-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3478134 | 1989-01-01 | Paper |
| Parallelism in spectral methods | 1988-01-01 | Paper |
| Spectral Methods and a Maximum Principle | 1988-01-01 | Paper |
| The Schwarz Algorithm for Spectral Methods | 1988-01-01 | Paper |
| Generalized Inf-Sup Conditions for Chebyshev Spectral Approximation of the Stokes Problem | 1988-01-01 | Paper |
| On the boundary treatment in spectral methods for hyperbolic systems | 1987-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4723233 | 1987-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3752987 | 1986-01-01 | Paper |
| Boundary Conditions in Chebyshev and Legendre Methods | 1986-01-01 | Paper |
| A Chebyshev spectral method for gas transients in pipelines | 1985-01-01 | Paper |
| Preconditioned minimal residual methods for Chebyshev spectral calculations | 1985-01-01 | Paper |
| Combined finite element and spectral approximation of the Navier-Stokes equations | 1984-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3326784 | 1984-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3681882 | 1984-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3701041 | 1984-01-01 | Paper |
| Approximation of Symmetry Breaking Bifurcations for the Rayleigh Convection Problem | 1983-01-01 | Paper |
| Analysis of the combined finite element and Fourier interpolation | 1982-01-01 | Paper |
| Approximation Results for Orthogonal Polynomials in Sobolev Spaces | 1982-01-01 | Paper |
| Error Estimates for Spectral and Pseudospectral Approximations of Hyperbolic Equations | 1982-01-01 | Paper |
| Spectral and pseudo-spectral methods for parabolic problems with non periodic boundary conditions | 1981-01-01 | Paper |
| A finite element to interpolate symmetric tensors with divergence in \(L^ 2\). | 1981-01-01 | Paper |
| A hybrid finite element method to compute the free vibration frequencies of a clamped plate | 1981-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4746759 | 1981-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4746758 | 1980-01-01 | Paper |
| Finite element approximation of the Neumann problem with singular boundary data | 1978-01-01 | Paper |
| Eigenvalue approximations by mixed methods | 1978-01-01 | Paper |