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Elastic wave equation

Yves Colin de Verdière (2006/2007)

Séminaire de théorie spectrale et géométrie

The goal of this talk is to describe the Lamé operator which drives the propagation of linear elastic waves. The main motivation for me is the work I have done in collaboration with Michel Campillo’s group from LGIT (Grenoble) on passive imaging in seismology. From this work, several mathematical problems emerged: equipartition of energy between S - and P - waves, high frequency description of surface waves in a stratified medium and related inverse spectral problems.We discuss the following topics:What...

Elastic wave propagation in parallel: the Huygens' approach.

Javier Sabadell (2002)

Revista Matemática Complutense

The use of parallel computers makes it feasible to simulate elastic waves throughout large heterogeneous structures, and new domain decomposition methods can be used to increase their efficiency and decrease the computing time spent in the simulation. In this paper we introduce a simple parallel algorithm for the propagation of elastic waves in complex heterogeneous media after a finite element discretization. This method performs more efficiently than classic domain decomposition techniques based...

Estimación no paramétrica de la función de riesgo: aplicaciones a sismología.

Graciela Estévez Pérez, Alejandro Quintela del Río (2001)

Qüestiió

Se estudia la estimación de tipo no paramétrico de la función de riesgo o razón de fallo de una variable aleatoria real. A partir de una muestra X1, X2, ..., Xn de datos no censurados y no necesariamente independientes, se considera un estimador cociente entre el estimador núcleo de la función de densidad y un estimador núcleo de la función de supervivencia, sobre el que se estudia el problema de selección del parámetro ventana. Por medio de un estudio de simulación se observa la ventaja de utilizar...

Estimate of vegetation efficiency on reducing dust concentration produced by a surface coal mine

Řezníček, Hynek, Beneš, Luděk (2019)

Programs and Algorithms of Numerical Mathematics

A new vegetative barrier can help to reduce dust concentration in a surface coal mine neighbourhood. The project reports about quantification of this effect. An air flow field is computed together with the dust transport driven by it using an in-house CFD solver. The 2D cuts of a real geometry of Bílina coal mine in north Bohemia are used. The vegetation is modelled as horizontally homogeneous porous medium which slows the air flow inside. An influence on turbulence and filtering the dust particles...

Estimates based on scale separation for geophysical flows.

François Jauberteau, Roger Temam (2002)

RACSAM

The objective of this work is to obtain theoretical estimates on the large and small scales for geophysical flows. Firstly, we consider the shallow water problem in the one-dimensional case, then in the two-dimensional case. Finally we consider geophysical flows under the hydrostatic hypothesis and the Boussinesq approximation. Scale separation is based on Fourier series, with N models in each spatial direction, and the choice of a cut-off level N1 < N to define large and small scales. We...

Evolution equations for dunes and drumlins.

Andrew C. Fowler (2002)

RACSAM

Las dunas (del desierto o en los ríos) son montículos de arena formados por la acción erosiva del viento (o del agua) sobre el substrato móvil subyacente. Los drumlins son pequeñas colinas que se forman de manera parecida por la acción erosiva de los casquetes polares en los sedimentos móviles de la base, particularmente durante las eras glaciales. Estas formaciones son causadas por una inestabilidad en el sistema acoplado que relaciona la evolución del lecho con las fuerzas de cizalla ejercidas...

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