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Time and place: June 27, 2018 11:15 AM - 12:00 PM, Seminar room 1020, Niels Henrik Abel's house
Time and place: June 7, 2018 1:15 PM - 2:00 PM, Seminar room "Hurricane"
Time and place: May 30, 2018 11:35 AM - 12:20 PM, Seminar room "End of the Line"
Time and place: May 9, 2018 11:15 AM - 12:00 PM, Seminar room "End of the Line"
Time and place: Apr. 11, 2018 11:15 AM - 12:00 PM, Seminar room "End of the Line"
Time and place: Mar. 7, 2018 11:15 AM - 12:00 PM, Seminar room "End of the Line"
Time: Feb. 28, 2018 11:15 AM - 12:00 PM
Time and place: Feb. 21, 2018 11:15 AM - 12:00 PM, Seminar room "End of the Line"

Speaker: Giuseppe Coclite (University of Bari)

Title: Nonlinear Peridynamic Models

Abstract: Some materials may naturally form discontinuities such as cracks as a result of scale effects and long range interactions. Peridynamic models such behavior introducing a new nonlocal framework for the basic equations of continuum mechanics. In this lecture we consider a nonlinear peridynamic model and discuss its well-posedness in suitable fractional Sobolev spaces. Those results were obtained in collaboration with S. Dipierro (Milano), F. Maddalena (Bari) and E. Valdinoci (Milano).

Time and place: Jan. 31, 2018 11:15 AM - 12:00 PM, Seminar room "End of the Line" (2nd floor), Sognsveien 77B, Ullevål Stadion
Time and place: Jan. 24, 2018 11:15 AM - 12:00 PM, Seminar room "End of the Line" (2nd floor), Matematisk Institutt, Sognsveien 77B, Ullevål Stadion
Time and place: Sep. 26, 2016 9:15 AM - 10:00 AM, Niels Henrik Abels hus, Undervisningsrom 1036

Numerical methods for stochastic conservation laws

Time and place: Sep. 2, 2016 10:15 AM - 11:00 AM, Undervisningsrom 801, Niels Henrik Abels hus

A class of nonlinear evolution equations of second order

Time and place: June 24, 2016 10:15 AM - 11:00 AM, NHA, room 1036

Multi-index Monte Carlo and Multi-index Stochastic Collocation

Time and place: Jan. 22, 2016 10:15 AM - 11:00 AM, NHA Room 1036

Hyperbolic-Elliptic models for two-phase flow in porous media

Time and place: Nov. 16, 2015 1:15 PM - 3:00 PM, Undervisningsrom 108, NHA hus

Rough paths and rough partial differential equations

Time and place: Oct. 30, 2015 9:15 AM - 10:00 AM, Room 1036 in Niels Henrik Abels hus

The universe in a computer: how mathematical and numerical methods are essential

Time and place: May 28, 2015 10:15 AM - 11:00 AM, room 1036 in Niels Henrik Abels hus

Computable error estimates for Monte Carlo finite element approximation of elliptic PDE with lognormal diffusion coefficients

Time and place: Apr. 30, 2015 11:15 AM - 12:00 PM, Room 1036 (Niels Henrik Abels hus)

Comments on the Galilean limits of Maxwell's equations

Time and place: Apr. 27, 2015 11:15 AM - 12:00 PM, Room 1036 (Niels Henrik Abels hus).

Convex relaxation, graph cut and continuous max-flow algorithms for image processing and computer vision.

Time and place: Apr. 10, 2015 10:15 AM - 11:15 AM, NHA B1036

Parameter-robust finite element discretization and its preconditioning for Biot's consolidation model in poroelasticity

Time and place: Mar. 4, 2014 10:15 AM - 11:00 AM, NHA B1036

Jan Martin Nordbotten (University of Bergen) will give a talk about

Finite volume methods for elasticity and poro-elasticity

Abstract: We introduce a new class of cell-centered finite volume methods for elasticity and poro-elasticity. This class of discretization methods has the advantage that the mechanical discretization is fully compatible (in terms of grid and variables) to the standard cell-centered finite volume discretizations that are prevailing for commercial simulation of multi-phase flows in porous media. 

For a specific variant of the proposed discretization, we give an overview of a convergence proof in the setting of isotropic elasticity, and address from a theoretical perspective the issues of a discrete Korn's inequality and robustness with respect to locking. Furthermore, we give numerical results for both structured and unstructured grids for both elasticity and poro-elasticity. The talk concludes with an application to simulation of fractured and fracturing porous media.  

Time and place: Feb. 25, 2014 10:15 AM - 11:00 AM, NHA B1036

Dongho Chae (Chung-Ang University, Korea) will give a seminar talk entitled

On the self-similar blow-up for the compressible Euler equations

Abstract: The problem of finite time blow-up/global regularity of the 3D incompressible Euler equations is an outstanding problem in mathematical fluid mechanics. On the other hand, the scenario of self-similar type blow-up is a natural candidate of blow-ups in various nonlinear partial differential equations such as the porous medium equation and the nonlinear Schrödinger equations. We also mention that for the closely related incompressible Navier-Stokes equations the question of self-similar blow-up was raised by J. Leray in 1930, and was negatively answered by J. Necas, M. Ruzicka and V. Sverak in 1996. In this talk we present the progress of study during the last several years on the self-similar blow-up for the Euler equations.

Time and place: Feb. 21, 2014 2:15 PM - 3:00 PM, NHA B1036

Johanna Ridder (University of Oslo) will give a talk about

Analysis of a finite difference method for two-dimensional incompressible magnetohydrodynamics

Abstract: We consider the magnetohydrodynamics equations for a viscous incompressible resistive fluid in two dimensions. For these equations we analyse a semi-discrete finite difference scheme that is based on a staggered grid and is energy preserving. We show an a priori H^1-bound and the convergence of the scheme.

Time and place: Feb. 4, 2014 10:15 AM - 11:00 AM, NHA B81

Jeonghun J. Lee (Aalto University, Helsinki) will give a talk about

On unified analysis of mixed methods for elasticity with weakly symmetric stress.

Abstract: We introduce a framework to construct and analyze mixed finite elements for elasticity with weakly symmetric stress. The framework is based on a connection between mixed methods for elasticity and mixed methods for Stokes equations. We show that some new finite elements can be obtained from it with optimal error bounds.

Time and place: Jan. 31, 2014 2:15 PM - 3:00 PM, NHA B1036

Rajib Dutta (University of Oslo) will give a seminar talk on

Operator splitting methods for Benjamin-Ono (BO) equation

Abstract: We consider the BO equation which describes one-dimensional internal waves in deep water. In this talk, we show that both Godunov and Strang splitting methods converge with the expected rates if the initial data are sufficiently smooth. We also present a proof of convergence of a fully discrete finite difference scheme for this equation.