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Advanced Numerical Methods in the Mathematical Sciences

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Advanced Numerical Methods in the Mathematical Sciences workshop group photograph taken on May 5, 2015.

Description

The workshop "Advanced Numerical Methods in the Mathematical Sciences" will take place at Texas A&M University in College Station, Texas, on . This workshop aims to bring together researchers working on different aspects of finite element discretization techniques and their applications and to foster interaction among researchers from both industry and academia.

Taking place at the university's campus in College Station, Texas, this workshop will host a poster session and offer a number of invited presentations given by a mix of senior and junior researchers. We particularly encourage workshop participants to present posters. Additionally, preceding the workshop on , will be a day of tutorials on various topics concerning finite element discretizations. Thanks to assistance from the National Science Foundation through award number DMS-1438451, we will offer young researchers and doctoral students financial support on a competitive basis. We are also grateful for assistance provided by Texas A&M's Institute for Scientific Computation, Institute for Applied Mathematics and Computational Science, Department of Mathematics, and College of Science.

Those interested in this workshop may contact NumMethWkspTAMU2015@gmail.com for additional information or assistance with registration, accommodations, etc.

We will provide and update information for this workshop online at http://isc.tamu.edu/events/NumMethWkspTAMU2015/.

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Organizing Committee

  • Yalchin Efendiev, Texas A&M University
  • Raytcho Lazarov, Texas A&M University
  • Ke Shi, Texas A&M University
  • Xiu Ye, University of Arkansas at Little Rock

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Registration

All workshop participants must register using our secure online store by entering the required information.

There are two registration price tiers corresponding to whether you wish to attend the formal dinner occurring on . The tiers are:

  • Without dinner - $50.00
  • With dinner - $120.00

Note that the deadline to register with the dinner option is . However, there is a limited number of dinner reservations available so early registration is strongly encouraged.

After selecting a tier, the secure online store will request a registrant's name, institutional affiliation, role within that institution, and email address. Students and post-doctoral candidates will indicate whether they will attend the tutorial sessions taking place on . Registrants will also indicate whether they will present a poster during the session taking place on , and, if so, the title of their poster. Note that as of , the poster option is no longer available. Finally, registrants must indicate any food allergies so that our staff can better plan break sessions.

Those attending the formal dinner hosted by Café Eccell on , will indicate their entrée choice. Note that vegetarians, vegans, and others with dietary restrictions can request a special entrée on site through the restaurant's wait staff. Each guest will receive two drink tickets to use toward a selection of bar beverages. The menu for the formal dinner includes:

Appetizers
Mediterranean Plate
  • Hummus
  • Tzatziki
  • Tabouleh
  • Baba Ghannouj
  • Earthstone Fired Flatbread
Napa Plate
  • Grilled Tomatoes
  • Asparagus
  • Fired Goat Cheese
  • Olive Tapenade
  • Roasted Galic Purée
  • Earthstone Fired Flatbread
Salad
Poached Pear Vinaigrette Salad
  • Puréed Pear Vinaigrette
  • Red Onion
  • Bell Peppers
  • Deep Ellum Blue Cheese
  • Walnuts
Entrées (Choice of One):
Voodoo Salmon
  • Mashed Potatoes of the Week
  • Toasted Almond Green Beans
  • Peppercorn Vinaigrette
  • Soy-Dijon Streaker
  • Cilantro-Pepita Pesto
  • Pickled Ginger
6 oz. Filet
  • Wet-Aged Certified Angus Beef
  • Toasted Almond Green Beans
  • Mashed Potatoes of the Week
  • Herbed Butter
Dessert
Strawberry Tart
  • Belgian Chocolate
  • Almond Cookie Shell
  • Pastry Cream
  • Apricot Glazed Strawberries

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Hotel and Accommodations

Hotel accommodations are available for our guests at a rate of $109.00 plus 15.75% tax with:

Home2 Suites by Hilton College Station
300 Texas Avenue South, College Station, TX 77840
Phone: +1.979.703.8288
Fax: +1.979.703.8287
Group Code: ISC

Booking a reservation online is simple through our personalized web portal.

In order to ensure room availability, you must book with Home2 Suites by Hilton College Station by using the group code ISC. There is a limited number of rooms available so early booking is strongly encouraged. After , or until all reserved rooms are sold-out, the group code will no longer be valid and you may need to reserve a room elsewhere.

Home2 Suites by Hilton College Station is conveniently located within a walking distance of approximately 1.5 miles from the workshop location, 0.25 miles from the formal dinner location, and offers many amenities and services for your comfort including a complimentary breakfast, free parking, wireless Internet access, and twenty-four hour access to the fitness and laundry facilities.

More information about the College Station area is available online at http://www.visitaggieland.com/.

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Financial Support

Thanks to assistance provided by the National Science Foundation, we are offering limited financial support to young researchers and doctoral students attending this workshop. We are no longer accepting financial support awards at this time.

Speakers

Todd Arbogast, University of Texas at Austin
Approximation of a Degenerate Elliptic Equation Arising from a Two-Phase Mixture Modeling the Motion of the Earth's Mantle
Randolph Bank, University of California at San Diego
Some Recent Results for Adaptive Finite Elements
Pavel Bochev, Sandia National Laboratories
Optimization-Based Coupling of Local and Non-Local Continuum Models: A Divide and Conquer Approach for Stable and Physically Consistent Heterogeneous Numerical Models
Tan Bui-Thanh, University of Texas at Austin
Some Recent Advances in Hybridized Discontinuous Galerkin Methods
Victor Calo, King Abdullah University of Science and Technology
PetIGA: High-Performance Isogeometric Analysis
Eric Chung, Chinese University of Hong Kong
Adaptive Multiscale Discontinuous Galerkin Methods
Bernardo Cockburn, University of Minnesota
The Evolution of the HDG Methods: An Overview
Leszek Demkowicz, University of Texas at Austin
Discontinuous Petrov-Galerkin (DPG) Method with Optimal Test Functions: Tutorial and Perspectives
Alan Demlow, Texas A&M University
A Posteriori Error Estimation and Adaptivity in the Maximum Norm
Jay Gopalakrishnan, Portland State University
Traces of a Friedrichs Space for the Wave Equation and Tent Pitching
Johnny Guzmán, Brown University
Higher-Order Finite Element Methods for Elliptic Problems with Interface
Seong Lee, Chevron Energy Technology Company
Recent Advances in Numerical Methods Applied to Non-Linear Transport Equations in Reservoir Simulation
Melvin Leok, University of California at San Diego
Space-Time Finite-Element Exterior Calculus and Variational Discretizations of Gauge Field Theories
Konstantin Lipnikov, Los Alamos National Laboratory
The Mimetic Finite Difference and Virtual Element Methods
Lin Mu, Michigan State University
Weak Galerkin Finite Element Methods and Numerical Applications
Weifeng Qiu, City University of Hong Kong
Robust A Posteriori Error Estimates for the HDG Method for Convection-Diffusion Equations
Beatrice Riviere, Rice University
High Order Methods for Flows in Heterogeneous Porous Media
Joachim Schöberl, Vienna Institute of Technology (Austria)
DG and HDG Tent Pitching Methods for Conservation Laws
Chi-Wang Shu, Brown University
IMEX Time Marching for Discontinuous Galerkin Methods
Junping Wang, National Science Foundation
Weak Galerkin Finite Element Methods for \(\text{div}\)-\(\text{curl}\) Systems
Yanqiu Wang, Oklahoma State University
In Search of Conforming \(H\left(\text{curl}\right)\) and \(H\left(\text{div}\right)\) Elements on Polytopes
Guo-Wei Wei, Michigan State University
Objective-Oriented Multidimensional Persistence in Biomolecular Data
Mary Wheeler, University of Texas at Austin
Modeling Coupled Flow, Chemistry, and Mechanics in Porous Media
Ivan Yotov, University of Pittsburgh
Domain Decomposition and Time-Partitioned Methods for Flow in Fractured Poroelastic Media
Ludmil Zikatanov, Pennsylvania State University and Bulgarian Academy of Sciences (Bulgaria)
Stability and Monotonicity in the Low Order Discretizations of the Biot's Model

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Posters

The poster session will take place in Memorial Student Center (MSC) 2404. We will provide poster presenters with a standard easel to display their work and a stiff backing (both 2 ft × 3 ft and 3 ft × 4 ft will be available) on which to mount it. A partial list of poster presentations includes:

Bandar Bin-Mohsin, King Saud University (Saudi Arabia)
Determination of Inner Boundaries in Modified Helmholtz Inverse Geometric Problems Using the MFS
Johan Ceballos, Yachay Tech University (Ecuador)
Simulation and Modeling Diabetic Retinopathy from Images Analysis
Duan Chen, University of North Carolina at Charlotte
Modeling and Computation of Heterogeneous Implicit Solvent and its Applications for Biomolecules
Jie Du, University of Science and Technology of China
A Simple Weighted Essentially Non-Oscillatory (WENO) Limiter for the Correction Procedure via Reconstruction (CPR) Framework on Unstructured Meshes
Truman Ellis, University of Texas at Austin
Space-Time Discontinuous Petrov-Galerkin Finite Elements for Fluid Flow
Federico Fuentes, University of Texas at Austin
Pyramid High Order Exact Sequence Shape Functions
Andrew Gillette, University of Arizona
What is a Good Linear Finite Element... on a Generic Polytope?
Shinhoo Kang, University of Texas at Austin
IMEX-HDG-DG Schemes for Nonlinear Partial Differential Equations
Brendan Keith, University of Texas at Austin
Orientation Embedded High Order Shape Functions for the Exact Sequence Elemends of All Shapes
Myoungnyoun Kim, National Institute for Mathematical Sciences (South Korea)
Multilevel Monte Carlo Method for the Helmholtz Equation with Random Coefficients
Seong Jun Kim, Georgia Institute of Technology
Parareal Methods for Highly Oscillatory Ordinary Differential Equations
Sanghyun Lee, University of Texas at Austin
3D Fracture Propagation Modeling Using Phase Field
Liangwei Li, George Washington University
The Hybrid Weak Galerkin Method for Parallel Computing
Brianna Lynn, Rice University
Optimal Control of System of Equations Using Discontinuous Galerkin Methods
Subhashree Mohapatra, Indian Institute of Science at Bangalore (India)
Least Squares Spectral Element Method for Oseen Equations with Applications to Navier-Stokes Equations
Sriramkrishnan Muralikrishnan, University of Texas at Austin
Multi-level HDG Method
Sriram Nagaraj, University of Texas at Austin
Construction of the DPG Fortin Operator
Charles Puelz, Rice University
Discontinuous Galerkin Methods for Reduced Blood Flow Models
Carmen Rodrigo, University of Zaragoza (Spain)
Stable Discretizations and Multigrid Solution of Biot's Consolidation Problem
Manuel Sanchez-Uribe, Brown University
FEM for Interface Problems
Stephen Shannon, University of Texas at Austin
Non-Conforming Discretizations for HDG
Jiguang Shen, University of Minnesota
A HDG Method for the \(p\)-Laplacian
Imbo Sim, National Institute for Mathematical Sciences (South Korea)
PML for Time-Dependent Wave Equation with Highly Oscillating Coefficients
Pu Song, University of Pittsburgh
Coupling Surface and Subsurface Flows with Curved Interfaces
Bao Wang, Michigan State University
Second Order Method for Solving 3D Elasticity Equations with Complex Interfaces
ChangQing Wang, University of Pittsburgh
Domain Decomposition Method on Stokes-Darcy Flow
Chunmei Wang, Georgia Institute of Technology
Weak Galerkin Finite Element Methods
Xingwu Wang, Alfred University
Earthquake Impacts on Solar Houses via Finite Element Methods
Yingwei Wang, Purdue University
Efficient Spectral Galerkin Methods for Electronic Structure Calculations
Steffen Weißer, Saarland University (Germany)
Polygonal/Polyhedral discretizations with BEM-based Finite Element Methods
Kelin Xia, Michigan State University
Persistent Homology Analysis of Biomolecules
Rana Zakerzadeh, University of Pittsburgh
Effect of Poroelasticity and Viscoelasticity on the Fluid-Structure Interaction in Arteries
Xu Zhang, Purdue University
Immersed Finite Element Methods with Enhanced Stability
Yujie Zhang, Oklahoma State University
Weak Galerkin Mixed Finite Element Method for Linear Elasticity Problems

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Schedule

The tutorial sessions will take place in Blocker Building (BLOC) 220. Please note that the schedule is tentative and subject to change. All times listed are local time.

Tutorial Day:

  • Bernardo Cockburn, University of Minnesota
  • Jiguang Shen, University of Minnesota
An Introduction to the Hybridized Discontinuous Galerkin (HDG) Methods
  • Chunmei Wang, Georgia Institute of Technology
  • Junping Wang, National Science Foundation
  • Xiu Ye, University of Arkansas at Little Rock
Basics of Weak Galerkin Finite Element Methods
  • Yalchin Efendiev, Texas A&M University
  • Tat Leung, Texas A&M University
Multiscale Model Reduction Techniques in Finite Element Methods

All workshop presentations will take place in Rudder Tower (RDER) 501. The poster session will take place in Memorial Student Center (MSC) 2404. Please note that the schedule is tentative and subject to change. All times listed are local time.

Day 1:

Registration
Welcoming Remarks
Mary Wheeler, University of Texas at Austin
Modeling Coupled Flow, Chemistry, and Mechanics in Porous Media
Konstantin Lipnikov, Los Alamos National Laboratory
The Mimetic Finite Difference and Virtual Element Methods
Break
Johnny Guzmán, Brown University
Higher-Order Finite Element Methods for Elliptic Problems with Interface
Lunch Break
Junping Wang, National Science Foundation
Weak Galerkin Finite Element Methods for \(\text{div}\)-\(\text{curl}\) Systems
Lin Mu, Michigan State University
Weak Galerkin Finite Element Methods and Numerical Applications
Break
Poster Session
Memorial Student Center (MSC) 2404

Day 2:

Bernardo Cockburn, University of Minnesota
The Evolution of the HDG Methods: An Overview
Weifeng Qiu, City University of Hong Kong
Robust A Posteriori Error Estimates for the HDG Method for Convection-Diffusion Equations
Break
Melvin Leok, University of California at San Diego
Space-Time Finite-Element Exterior Calculus and Variational Discretizations of Gauge Field Theories
Yanqiu Wang, Oklahoma State University
In Search of Conforming \(H\left(\text{curl}\right)\) and \(H\left(\text{div}\right)\) Elements on Polytopes
Lunch Break
Tan Bui-Thanh, University of Texas at Austin
Some Recent Advances in Hybridized Discontinuous Galerkin Methods
Guo-Wei Wei, Michigan State University
Objective-Oriented Multidimensional Persistence in Biomolecular Data
Break
Leszek Demkowicz, University of Texas at Austin
Discontinuous Petrov-Galerkin (DPG) Method with Optimal Test Functions: Tutorial and Perspectives

Day 3:

Chi-Wang Shu, Brown University
IMEX Time Marching for Discontinuous Galerkin Methods
Beatrice Riviere, Rice University
High Order Methods for Flows in Heterogeneous Porous Media
Break
Pavel Bochev, Sandia National Laboratories
Optimization-Based Coupling of Local and Non-Local Continuum Models: A Divide and Conquer Approach for Stable and Physically Consistent Heterogeneous Numerical Models
Victor Calo, King Abdullah University of Science and Technology
PetIGA: High-Performance Isogeometric Analysis
Lunch Break
Randolph Bank, University of California at San Diego
Some Recent Results for Adaptive Finite Elements
Todd Arbogast, University of Texas at Austin
Approximation of a Degenerate Elliptic Equation Arising from a Two-Phase Mixture Modeling the Motion of the Earth's Mantle
Break
Seong Lee, Chevron Energy Technology Company
Recent Advances in Numerical Methods Applied to Non-Linear Transport Equations in Reservoir Simulation
Dinner
Café Eccell
4401 S. Texas Avenue, Bryan, TX 77802 - 979.599.7929

Day 4:

Jay Gopalakrishnan, Portland State University
Traces of a Friedrichs Space for the Wave Equation and Tent Pitching
Joachim Schöberl, Vienna Institute of Technology (Austria)
DG and HDG Tent Pitching Methods for Conservation Laws
Break
Ivan Yotov, University of Pittsburgh
Domain Decomposition and Time-Partitioned Methods for Flow in Fractured Poroelastic Media
Ludmil Zikatanov, Pennsylvania State University and Bulgarian Academy of Sciences (Bulgaria)
Stability and Monotonicity in the Low Order Discretizations of the Biot's Model
Lunch Break
Eric Chung, Chinese University of Hong Kong
Adaptive Multiscale Discontinuous Galerkin Methods
Alan Demlow, Texas A&M University
A Posteriori Error Estimation and Adaptivity in the Maximum Norm
Closing Remarks

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Contact Information

If you have any questions concerning this workshop, email NumMethWkspTAMU2015@gmail.com.

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