Filtering SharePoint List data dynamically in Webpart

Add below Namespaces into the Standard WebPart:

using Microsoft.SharePoint.WebControls;
using Microsoft.SharePoint.WebPartPages;
using Microsoft.SharePoint.Utilities;
using System.Xml;  namespace DynamicallyFilterationList.ListFilterationDynamically
{
    [ToolboxItemAttribute(false)]
    public class ListFilterationDynamically : System.Web.UI.WebControls.WebParts.WebPart
    {
        TextBox tbA;
        TextBox tbB;
        Button filterButton;
        UpdatePanel mainUpdatePanel;
        ListViewWebPart lvwp;
        SPList list;        protected override void CreateChildControls()
        {            mainUpdatePanel = new UpdatePanel();
            mainUpdatePanel.UpdateMode = UpdatePanelUpdateMode.Conditional;            tbA = new TextBox();
            tbB = new TextBox();            list = SPContext.Current.Web.GetList(SPUrlUtility.CombineUrl(SPContext.Current.Web.Url, "Lists/FilterList"));
            lvwp = new ListViewWebPart();
            lvwp.ListName = list.ID.ToString("B").ToUpper();
            lvwp.ViewGuid = list.DefaultView.ID.ToString("B").ToUpper();
            lvwp.ChromeType = PartChromeType.None;             filterButton = new Button();
            filterButton.Text = "Filter";
            filterButton.Click += new EventHandler(filterButton_Click);             Controls.Add(new LiteralControl(" Nom : "));
            Controls.Add(tbA);
            Controls.Add(new LiteralControl(" Prenom : "));
            Controls.Add(tbB);
            mainUpdatePanel.ContentTemplateContainer.Controls.Add(filterButton);
            mainUpdatePanel.ContentTemplateContainer.Controls.Add(lvwp);
            this.Controls.Add(mainUpdatePanel);
        }        private void filterButton_Click(object sender, EventArgs e)
        {
            string query = string.Empty;
            string tempAdding = string.Empty;
            if (!string.IsNullOrEmpty(tbA.Text))
            {
                query = "<Contains><FieldRef Name='LinkTitle' /><Value Type='Text'>" + tbA.Text + "</Value></Contains>";
            }
            if (!string.IsNullOrEmpty(tbB.Text))
            {
                tempAdding = "<Contains><FieldRef Name='Prenom' /><Value Type='Text'>" + tbB.Text + "</Value></Contains>";
                query = (query.Length > 0 ? "<And>" + query + tempAdding + "</And>" : tempAdding);
            }            XmlDocument doc = new XmlDocument();
            doc.LoadXml(lvwp.ListViewXml);
            XmlNode queryNode = doc.SelectSingleNode("//Query");
            XmlNode whereNode = queryNode.SelectSingleNode("Where");            if (whereNode != null) queryNode.RemoveChild(whereNode);
            XmlNode newNode = doc.CreateNode(XmlNodeType.Element, "Where", String.Empty);
            newNode.InnerXml = query.ToString();
            queryNode.AppendChild(newNode);
            lvwp.ListViewXml = doc.OuterXml;        }
    }
}
Ref: http://christopherclementen.wordpress.com/2012/04/02/filter-a-list-dynamically/ OutPut Screen: