41 citations · 150 across the 13 of their papers we have counts for
16 papers
On a robust inf-sup condition for the Stokes problem in slender domains -- with application to preconditioning
Espen Sande, Timo Koch, Miroslav Kuchta +1
We identify a norm on the pressure variable in the Stokes equation that allows us to prove a continuous inf-sup condition with a constant independent of the domain's aspect ratio.…
On the prospects of interpolatory spline bases for accurate mass lumping strategies in isogeometric analysis
Yannis Voet, Espen Sande
While interpolatory bases such as the Lagrange basis form the cornerstone of classical finite element methods, they have been replaced in the more general finite element setting of…
Mass lumping and stabilization for immersogeometric analysis
Yannis Voet, Espen Sande, Annalisa Buffa
Trimmed (multi-patch) geometries are the state-of-the-art technology in computer-aided design for industrial applications such as automobile crashworthiness. In this context, fast…
A theoretical analysis of mass scaling techniques
Yannis Voet, Espen Sande, Annalisa Buffa
Mass scaling is widely used in finite element models of structural dynamics for increasing the critical time step of explicit time integration methods. While the field has been flo…
Mass lumping and outlier removal strategies for complex geometries in isogeometric analysis
Yannis Voet, Espen Sande, Annalisa Buffa
Mass lumping techniques are commonly employed in explicit time integration schemes for problems in structural dynamics and both avoid solving costly linear systems with the consist…
A mathematical theory for mass lumping and its generalization with applications to isogeometric analysis
Yannis Voet, Espen Sande, Annalisa Buffa
Explicit time integration schemes coupled with Galerkin discretizations of time-dependent partial differential equations require solving a linear system with the mass matrix at eac…
Application of optimal spline subspaces for the removal of spurious outliers in isogeometric discretizations
Carla Manni, Espen Sande, Hendrik Speleers
We show that isogeometric Galerkin discretizations of eigenvalue problems related to the Laplace operator subject to any standard type of homogeneous boundary conditions have no ou…
Ritz-type projectors with boundary interpolation properties and explicit spline error estimates
Espen Sande, Carla Manni, Hendrik Speleers
In this paper we construct Ritz-type projectors with boundary interpolation properties in finite dimensional subspaces of the usual Sobolev space and we provide a priori error esti…
Best low-rank approximations and Kolmogorov n-widths
Michael S. Floater, Carla Manni, Espen Sande +1
We relate the problem of best low-rank approximation in the spectral norm for a matrix to Kolmogorov -widths and corresponding optimal spaces. We characterize all the optima…
On best constants in approximation
Andrea Bressan, Michael S. Floater, Espen Sande
In this paper we provide explicit upper and lower bounds on certain -widths, i.e., best constants in approximation. We further describe a numerical method to compute…
Explicit error estimates for spline approximation of arbitrary smoothness in isogeometric analysis
Espen Sande, Carla Manni, Hendrik Speleers
In this paper we provide a priori error estimates with explicit constants for both the -projection and the Ritz projection onto spline spaces of arbitrary smoothness defined o…
Sharp error estimates for spline approximation: explicit constants, -widths, and eigenfunction convergence
Espen Sande, Carla Manni, Hendrik Speleers
In this paper we provide a priori error estimates in standard Sobolev (semi-)norms for approximation in spline spaces of maximal smoothness on arbitrary grids. The error estimates…
The optimal convergence rate of monotone schemes for conservation laws in the Wasserstein distance
Adrian Montgomery Ruf, Espen Sande, Susanne Solem
In 1994, Nessyahu, Tadmor and Tassa studied convergence rates of monotone finite volume approximations of conservation laws. For compactly supported, $\Lip^+$-bounded initial data…
Approximation in FEM, DG and IGA: A Theoretical Comparison
Andrea Bressan, Espen Sande
In this paper we compare approximation properties of degree spline spaces with different numbers of continuous derivatives. We prove that, for a given space dimension, $\smooth…
Poincaré path integrals for elasticity
Snorre H. Christiansen, Kaibo Hu, Espen Sande
We propose a general strategy to derive null-homotopy operators for differential complexes based on the Bernstein-Gelfand-Gelfand (BGG) construction and properties of the de Rham c…
Optimal spline spaces for -width problems with boundary conditions
Michael S. Floater, Espen Sande
In this paper we show that, with respect to the norm, three classes of functions in , defined by certain boundary conditions, admit optimal spline spaces of all deg…