10.9k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Istituto Nazionale di Fisica Nucleare, Sezione di PaviaIT2.8k papers
- European Organization for Nuclear ResearchCH2.1k papers
- The Ohio State UniversityUS2k papers
- Istituto Nazionale di Fisica Nucleare, Laboratori Nazionali di FrascatiIT2k papers
- National and Kapodistrian University of AthensGR2k papers
- Centre National de la Recherche ScientifiqueFR2k papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR1.9k papers
- Istituto Nazionale di Fisica Nucleare, Sezione di BolognaIT1.9k papers
- Sapienza University of RomeIT1.9k papers
- University of PisaIT1.9k papers
- University of BolognaIT1.9k papers
- Istituto Nazionale di Fisica Nucleare, Sezione di Roma IIT1.8k papers
14 papers · 2 filters
Multi-index Stochastic Collocation convergence rates for random PDEs with parametric regularity
Abdul-Lateef Haji-Ali, Fabio Nobile, Lorenzo Tamellini +1
We analyze the recent Multi-index Stochastic Collocation (MISC) method for computing statistics of the solution of a partial differential equation (PDEs) with random data, where th…
Serendipity Nodal VEM spaces
L. Beirao da Veiga, F. Brezzi, L. D. Marini +1
We introduce a new variant of Nodal Virtual Element spaces that mimics the "Serendipity Finite Element Methods" (whose most popular example is the 8-node quadrilateral) and allows…
Divergence free Virtual Elements for the Stokes problem on polygonal meshes
L. Beirao da Veiga, C. Lovadina, G. Vacca
In the present paper we develop a new family of Virtual Elements for the Stokes problem on polygonal meshes. By a proper choice of the Virtual space of velocities and the associate…
A fictitious domain approach with distributed Lagrange multiplier for fluid-structure interactions
Daniele Boffi, Lucia Gastaldi
We study a recently introduced formulation for fluid-structure interaction problems which makes use of a distributed Lagrange multiplier in the spirit of the fictitious domain meth…
Analysis-suitable multi-patch parametrizations for isogeometric spaces
Annabelle Collin, Giancarlo Sangalli, Thomas Takacs
One key feature of isogeometric analysis is that it allows smooth shape functions. Indeed, when isogeometric spaces are constructed from -degree splines (and extensions, such as…
Multi-Index Stochastic Collocation for random PDEs
Abdul-Lateef Haji-Ali, Fabio Nobile, Lorenzo Tamellini +1
In this work we introduce the Multi-Index Stochastic Collocation method (MISC) for computing statistics of the solution of a PDE with random data. MISC is a combination technique b…
Unstructured spline spaces for isogeometric analysis based on spline manifolds
Giancarlo Sangalli, Thomas Takacs, Rafael Vázquez
Based on spline manifolds we introduce and study a mathematical framework for analysis-suitable unstructured B-spline spaces. In this setting the parameter domain has a manifold st…
Approximation properties of isogeometric function spaces on singularly parameterized domains
Thomas Takacs
We study approximation error bounds of isogeometric function spaces on a specific type of singularly parameterized domains. In this context an isogeometric function is the composit…
Mixed Virtual Element Methods for general second order elliptic problems on polygonal meshes
L. Beirao da Veiga, F. Brezzi, L. D. Marini +1
In the present paper we introduce a Virtual Element Method (VEM) for the approximate solution of general linear second order elliptic problems in mixed form, allowing for variable…
A Survey of Trefftz Methods for the Helmholtz Equation
Ralf Hiptmair, Andrea Moiola, Ilaria Perugia
Trefftz methods are finite element-type schemes whose test and trial functions are (locally) solutions of the targeted differential equation. They are particularly popular for time…
Trefftz discontinuous Galerkin methods on unstructured meshes for the wave equation
Andrea Moiola
We describe and analyse a space-time Trefftz discontinuous Galerkin method for the wave equation. The method is defined for unstructured meshes whose internal faces need not be ali…
A Virtual Element Method for elastic and inelastic problems on polytope meshes
L. Beirão da Veiga, C. Lovadina, D. Mora
We present a Virtual Element Method (VEM) for possibly nonlinear elastic and inelastic problems, mainly focusing on a small deformation regime. The numerical scheme is based on a l…
A priori error analysis of space-time Trefftz discontinuous Galerkin methods for wave problems
Fritz Kretzschmar, Andrea Moiola, Ilaria Perugia +1
We present and analyse a space-time discontinuous Galerkin method for wave propagation problems. The special feature of the scheme is that it is a Trefftz method, namely that trial…
Approximation error estimates and inverse inequalities for B-splines of maximum smoothness
Stefan Takacs, Thomas Takacs
In this paper, we develop approximation error estimates as well as corresponding inverse inequalities for B-splines of maximum smoothness, where both the function to be approximate…